77934304 has 72 divisors (see below), whose sum is σ = 186329808. Its totient is φ = 31933440.

The previous prime is 77934299. The next prime is 77934331. The reversal of 77934304 is 40343977.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34984 + ... + 37144.

It is an arithmetic number, because the mean of its divisors is an integer number (2587914).

Almost surely, 2^77934304 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 77934304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93164904).

77934304 is an abundant number, since it is smaller than the sum of its proper divisors (108395504).

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

77934304 is a wasteful number, since it uses less digits than its factorization.

77934304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2208 (or 2193 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 37.

The square root of 77934304 is about 8828.0407792443. The cubic root of 77934304 is about 427.1458786707.

The spelling of 77934304 in words is "seventy-seven million, nine hundred thirty-four thousand, three hundred four".