76034688 has 64 divisors (see below), whose sum is σ = 210772800. Its totient is φ = 24240128.

The previous prime is 76034687. The next prime is 76034689. The reversal of 76034688 is 88643067.

It is an interprime number because it is at equal distance from previous prime (76034687) and next prime (76034689).

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (76034687) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 4528 + ... + 13136.

It is an arithmetic number, because the mean of its divisors is an integer number (3293325).

Almost surely, 2^76034688 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 76034688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105386400).

76034688 is an abundant number, since it is smaller than the sum of its proper divisors (134738112).

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

76034688 is a wasteful number, since it uses less digits than its factorization.

76034688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8649 (or 8637 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 76034688 is about 8719.7871533656. The cubic root of 76034688 is about 423.6467925921.

The spelling of 76034688 in words is "seventy-six million, thirty-four thousand, six hundred eighty-eight".