76034640 has 160 divisors (see below), whose sum is σ = 260983296. Its totient is φ = 18158080.

The previous prime is 76034639. The next prime is 76034653. The reversal of 76034640 is 4643067.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 76034598 and 76034607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 218947 + ... + 219293.

Almost surely, 2^76034640 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 76034640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130491648).

76034640 is an abundant number, since it is smaller than the sum of its proper divisors (184948656).

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

76034640 is a wasteful number, since it uses less digits than its factorization.

76034640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 76034640 is about 8719.7844010044. The cubic root of 76034640 is about 423.6467034440.

The spelling of 76034640 in words is "seventy-six million, thirty-four thousand, six hundred forty".