77696320 has 112 divisors (see below), whose sum is σ = 209946240. Its totient is φ = 27150336.

The previous prime is 77696287. The next prime is 77696327. The reversal of 77696320 is 2369677.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77696327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78549 + ... + 79531.

It is an arithmetic number, because the mean of its divisors is an integer number (1874520).

Almost surely, 2^77696320 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 77696320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104973120).

77696320 is an abundant number, since it is smaller than the sum of its proper divisors (132249920).

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

77696320 is a wasteful number, since it uses less digits than its factorization.

77696320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032 (or 1022 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 40.

The square root of 77696320 is about 8814.5516051584. The cubic root of 77696320 is about 426.7106508476.

The spelling of 77696320 in words is "seventy-seven million, six hundred ninety-six thousand, three hundred twenty".