Search a number
-
+
797212080 = 243257367431
BaseRepresentation
bin101111100001000…
…111110110110000
32001120002120101100
4233201013312300
53113041241310
6211035004400
725520122320
oct5741076660
92046076340
10797212080
1137a007265
121a2b99700
13c9217c32
1477c41280
1549ec5ec0
hex2f847db0

797212080 has 240 divisors, whose sum is σ = 3075231744. Its totient is φ = 181301760.

The previous prime is 797212079. The next prime is 797212081. The reversal of 797212080 is 80212797.

It is an interprime number because it is at equal distance from previous prime (797212079) and next prime (797212081).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (797212081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1849465 + ... + 1849895.

Almost surely, 2797212080 is an apocalyptic number.

797212080 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 797212080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1537615872).

797212080 is an abundant number, since it is smaller than the sum of its proper divisors (2278019664).

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

797212080 is a wasteful number, since it uses less digits than its factorization.

797212080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 797212080 is about 28234.9443066566. The cubic root of 797212080 is about 927.2381467654.

The spelling of 797212080 in words is "seven hundred ninety-seven million, two hundred twelve thousand, eighty".