77345376 has 96 divisors (see below), whose sum is σ = 217945728. Its totient is φ = 23930880.

The previous prime is 77345351. The next prime is 77345381. The reversal of 77345376 is 67354377.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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, 135171 + ... + 135741.

It is an arithmetic number, because the mean of its divisors is an integer number (2270268).

Almost surely, 2^77345376 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 77345376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108972864).

77345376 is an abundant number, since it is smaller than the sum of its proper divisors (140600352).

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

77345376 is a wasteful number, since it uses less digits than its factorization.

77345376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684 (or 676 counting only the distinct ones).

The product of its digits is 370440, while the sum is 42.

The square root of 77345376 is about 8794.6219930137. The cubic root of 77345376 is about 426.0672159142.

Subtracting from 77345376 its reverse (67354377), we obtain a palindrome (9990999).

The spelling of 77345376 in words is "seventy-seven million, three hundred forty-five thousand, three hundred seventy-six".