76088064 has 72 divisors (see below), whose sum is σ = 218111152. Its totient is φ = 23408640.

The previous prime is 76088063. The next prime is 76088069. The reversal of 76088064 is 46088067.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (76088063) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6174 + ... + 13794.

Almost surely, 2^76088064 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 76088064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109055576).

76088064 is an abundant number, since it is smaller than the sum of its proper divisors (142023088).

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

76088064 is a wasteful number, since it uses less digits than its factorization.

76088064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7653 (or 7639 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 76088064 is about 8722.8472415834. The cubic root of 76088064 is about 423.7459021018.

The spelling of 76088064 in words is "seventy-six million, eighty-eight thousand, sixty-four".