77976576 has 66 divisors (see below), whose sum is σ = 225182282. Its totient is φ = 25989120.

The previous prime is 77976559. The next prime is 77976599. The reversal of 77976576 is 67567977.

It can be written as a sum of positive squares in only one way, i.e., 74649600 + 3326976 = 8640^2 + 1824^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4986 + ... + 13446.

Almost surely, 2^77976576 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 77976576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112591141).

77976576 is an abundant number, since it is smaller than the sum of its proper divisors (147205706).

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

77976576 is a wasteful number, since it uses less digits than its factorization.

77976576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8487 (or 8466 counting only the distinct ones).

The product of its digits is 3889620, while the sum is 54.

The square root of 77976576 is about 8830.4346438893. The cubic root of 77976576 is about 427.2230934787.

The spelling of 77976576 in words is "seventy-seven million, nine hundred seventy-six thousand, five hundred seventy-six".