77573664 has 216 divisors, whose sum is σ = 268894080. Its totient is φ = 21111552.

The previous prime is 77573653. The next prime is 77573689. The reversal of 77573664 is 46637577.

77573664 is a `hidden beast` number, since 77 + 573 + 6 + 6 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 324457 + ... + 324695.

It is an arithmetic number, because the mean of its divisors is an integer number (1244880).

Almost surely, 2^77573664 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 77573664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134447040).

77573664 is an abundant number, since it is smaller than the sum of its proper divisors (191320416).

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

77573664 is a wasteful number, since it uses less digits than its factorization.

77573664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 274 counting only the distinct ones).

The product of its digits is 740880, while the sum is 45.

The square root of 77573664 is about 8807.5912711706. The cubic root of 77573664 is about 426.4859890387.

The spelling of 77573664 in words is "seventy-seven million, five hundred seventy-three thousand, six hundred sixty-four".