77456064 has 84 divisors (see below), whose sum is σ = 238423704. Its totient is φ = 22127616.

The previous prime is 77456033. The next prime is 77456069. The reversal of 77456064 is 46065477.

It is a tau number, because it is divible by the number of its divisors (84).

It is not an unprimeable number, because it can be changed into a prime (77456069) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5292 + ... + 13524.

Almost surely, 2^77456064 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 77456064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119211852).

77456064 is an abundant number, since it is smaller than the sum of its proper divisors (160967640).

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

77456064 is a wasteful number, since it uses less digits than its factorization.

77456064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8262 (or 8245 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 39.

The square root of 77456064 is about 8800.9126799441. The cubic root of 77456064 is about 426.2703655242.

The spelling of 77456064 in words is "seventy-seven million, four hundred fifty-six thousand, sixty-four".