77793936 has 80 divisors (see below), whose sum is σ = 220485888. Its totient is φ = 23440000.

The previous prime is 77793929. The next prime is 77793941. The reversal of 77793936 is 63939777.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132235 + ... + 132821.

Almost surely, 2^77793936 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 77793936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110242944).

77793936 is an abundant number, since it is smaller than the sum of its proper divisors (142691952).

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

77793936 is a wasteful number, since it uses less digits than its factorization.

77793936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860 (or 854 counting only the distinct ones).

The product of its digits is 1500282, while the sum is 51.

The square root of 77793936 is about 8820.0870744001. The cubic root of 77793936 is about 426.8892794482.

The spelling of 77793936 in words is "seventy-seven million, seven hundred ninety-three thousand, nine hundred thirty-six".