77074564 has 48 divisors (see below), whose sum is σ = 169344000. Its totient is φ = 29928096.

The previous prime is 77074559. The next prime is 77074579. The reversal of 77074564 is 46547077.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9087 + ... + 15385.

It is an arithmetic number, because the mean of its divisors is an integer number (3528000).

Almost surely, 2^77074564 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 77074564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84672000).

77074564 is an abundant number, since it is smaller than the sum of its proper divisors (92269436).

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

77074564 is a wasteful number, since it uses less digits than its factorization.

77074564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6352 (or 6350 counting only the distinct ones).

The product of its (nonzero) digits is 164640, while the sum is 40.

The square root of 77074564 is about 8779.2120375350. The cubic root of 77074564 is about 425.5693665295.

The spelling of 77074564 in words is "seventy-seven million, seventy-four thousand, five hundred sixty-four".