77973696 has 84 divisors (see below), whose sum is σ = 236674152. Its totient is φ = 24459264.

The previous prime is 77973671. The next prime is 77973697. The reversal of 77973696 is 69637977.

It is not an unprimeable number, because it can be changed into a prime (77973697) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5811 + ... + 13773.

Almost surely, 2^77973696 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 77973696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118337076).

77973696 is an abundant number, since it is smaller than the sum of its proper divisors (158700456).

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

77973696 is a wasteful number, since it uses less digits than its factorization.

77973696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7998 (or 7985 counting only the distinct ones).

The product of its digits is 3000564, while the sum is 54.

The square root of 77973696 is about 8830.2715700028. The cubic root of 77973696 is about 427.2178337040.

The spelling of 77973696 in words is "seventy-seven million, nine hundred seventy-three thousand, six hundred ninety-six".