76432640 has 72 divisors (see below), whose sum is σ = 184597728. Its totient is φ = 30320640.

The previous prime is 76432627. The next prime is 76432667. The reversal of 76432640 is 4623467.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 76432597 and 76432606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 269939 + ... + 270221.

Almost surely, 2^76432640 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 76432640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92298864).

76432640 is an abundant number, since it is smaller than the sum of its proper divisors (108165088).

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

76432640 is a wasteful number, since it uses less digits than its factorization.

76432640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 32.

The square root of 76432640 is about 8742.5762793355. The cubic root of 76432640 is about 424.3846041526.

The spelling of 76432640 in words is "seventy-six million, four hundred thirty-two thousand, six hundred forty".