77796992 has 64 divisors (see below), whose sum is σ = 190780800. Its totient is φ = 30772224.

The previous prime is 77796989. The next prime is 77797003. The reversal of 77796992 is 29969777.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8309 + ... + 14987.

It is an arithmetic number, because the mean of its divisors is an integer number (2980950).

Almost surely, 2^77796992 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 77796992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95390400).

77796992 is an abundant number, since it is smaller than the sum of its proper divisors (112983808).

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

77796992 is a wasteful number, since it uses less digits than its factorization.

77796992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6713 (or 6701 counting only the distinct ones).

The product of its digits is 3000564, while the sum is 56.

The square root of 77796992 is about 8820.2603136189. The cubic root of 77796992 is about 426.8948692436.

The spelling of 77796992 in words is "seventy-seven million, seven hundred ninety-six thousand, nine hundred ninety-two".