77204064 has 96 divisors (see below), whose sum is σ = 233646336. Its totient is φ = 21864960.

The previous prime is 77204041. The next prime is 77204081. The reversal of 77204064 is 46040277.

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, 87594 + ... + 88470.

It is an arithmetic number, because the mean of its divisors is an integer number (2433816).

Almost surely, 2^77204064 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 77204064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116823168).

77204064 is an abundant number, since it is smaller than the sum of its proper divisors (156442272).

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

77204064 is a wasteful number, since it uses less digits than its factorization.

77204064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 30.

The square root of 77204064 is about 8786.5843192904. The cubic root of 77204064 is about 425.8075791255.

The spelling of 77204064 in words is "seventy-seven million, two hundred four thousand, sixty-four".