Search a number
-
+
798698880 = 2734573171
BaseRepresentation
bin101111100110110…
…010110110000000
32001122220002220000
4233212302312000
53113431331010
6211130520000
725535554110
oct5746626600
92048802800
10798698880
1137a932321
121a3596000
13c96188b5
147810b040
154a1bb7c0
hex2f9b2d80

798698880 has 640 divisors, whose sum is σ = 3412316160. Its totient is φ = 174182400.

The previous prime is 798698867. The next prime is 798698941. The reversal of 798698880 is 88896897.

798698880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11249245 + ... + 11249315.

It is an arithmetic number, because the mean of its divisors is an integer number (5331744).

Almost surely, 2798698880 is an apocalyptic number.

798698880 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 798698880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1706158080).

798698880 is an abundant number, since it is smaller than the sum of its proper divisors (2613617280).

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

798698880 is a wasteful number, since it uses less digits than its factorization.

798698880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 63.

The square root of 798698880 is about 28261.2611183578. The cubic root of 798698880 is about 927.8142216300.

The spelling of 798698880 in words is "seven hundred ninety-eight million, six hundred ninety-eight thousand, eight hundred eighty".