77279493432960 has 2304 divisors, whose sum is σ = 367085593405440. Its totient is φ = 15345664524288.

The previous prime is 77279493432959. The next prime is 77279493433003. The reversal of 77279493432960 is 6923439497277.

77279493432960 is a `hidden beast` number, since 7 + 7 + 2 + 7 + 9 + 493 + 43 + 2 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1684103137 + ... + 1684149023.

It is an arithmetic number, because the mean of its divisors is an integer number (159325344360).

Almost surely, 2^{77279493432960} is an apocalyptic number.

77279493432960 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 77279493432960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183542796702720).

77279493432960 is an abundant number, since it is smaller than the sum of its proper divisors (289806099972480).

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

77279493432960 is a wasteful number, since it uses less digits than its factorization.

77279493432960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45965 (or 45934 counting only the distinct ones).

The product of its (nonzero) digits is 864162432, while the sum is 72.

The spelling of 77279493432960 in words is "seventy-seven trillion, two hundred seventy-nine billion, four hundred ninety-three million, four hundred thirty-two thousand, nine hundred sixty".