796279680 has 512 divisors, whose sum is σ = 3348864000. Its totient is φ = 174956544.

The previous prime is 796279667. The next prime is 796279681. The reversal of 796279680 is 86972697.

796279680 is a `hidden beast` number, since 7 + 9 + 627 + 9 + 6 + 8 + 0 = 666.

It is a super-2 number, since 2×796279680² = 1268122657561804800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (796279681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3507727 + ... + 3507953.

It is an arithmetic number, because the mean of its divisors is an integer number (6540750).

Almost surely, 2^796279680 is an apocalyptic number.

796279680 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 796279680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1674432000).

796279680 is an abundant number, since it is smaller than the sum of its proper divisors (2552584320).

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

796279680 is a wasteful number, since it uses less digits than its factorization.

796279680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The square root of 796279680 is about 28218.4280214189. The cubic root of 796279680 is about 926.8765139603.

The spelling of 796279680 in words is "seven hundred ninety-six million, two hundred seventy-nine thousand, six hundred eighty".