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798224080 = 24541397613
BaseRepresentation
bin101111100100111…
…110111011010000
32001121222222120211
4233210332323100
53113321132310
6211112413504
725531535623
oct5744767320
92047888524
10798224080
1137a638625
121a33a7294
13c94b0754
1478025dba
154a125c8a
hex2f93eed0

798224080 has 80 divisors (see below), whose sum is σ = 1909034064. Its totient is φ = 310210560.

The previous prime is 798224071. The next prime is 798224081. The reversal of 798224080 is 80422897.

It can be written as a sum of positive squares in 8 ways, for example, as 277289104 + 520934976 = 16652^2 + 22824^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (798224081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1301854 + ... + 1302466.

Almost surely, 2798224080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 798224080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (954517032).

798224080 is an abundant number, since it is smaller than the sum of its proper divisors (1110809984).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

798224080 is a wasteful number, since it uses less digits than its factorization.

798224080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1064 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The square root of 798224080 is about 28252.8596782697. The cubic root of 798224080 is about 927.6303335903.

The spelling of 798224080 in words is "seven hundred ninety-eight million, two hundred twenty-four thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 397 410 613 656 794 820 1226 1588 1640 1985 2452 3065 3176 3280 3970 4904 6130 6352 7940 9808 12260 15880 16277 24520 25133 31760 32554 49040 50266 65108 81385 100532 125665 130216 162770 201064 243361 251330 260432 325540 402128 486722 502660 651080 973444 1005320 1216805 1302160 1946888 2010640 2433610 3893776 4867220 9734440 9977801 19468880 19955602 39911204 49889005 79822408 99778010 159644816 199556020 399112040 798224080