76738640 has 160 divisors (see below), whose sum is σ = 209986560. Its totient is φ = 25804800.

The previous prime is 76738631. The next prime is 76738661. The reversal of 76738640 is 4683767.

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, 791072 + ... + 791168.

It is an arithmetic number, because the mean of its divisors is an integer number (1312416).

Almost surely, 2^76738640 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 76738640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104993280).

76738640 is an abundant number, since it is smaller than the sum of its proper divisors (133247920).

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

76738640 is a wasteful number, since it uses less digits than its factorization.

76738640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 41.

The square root of 76738640 is about 8760.0593605295. The cubic root of 76738640 is about 424.9501948557.

The spelling of 76738640 in words is "seventy-six million, seven hundred thirty-eight thousand, six hundred forty".