76680240 has 160 divisors (see below), whose sum is σ = 292647936. Its totient is φ = 16174080.

The previous prime is 76680239. The next prime is 76680271. The reversal of 76680240 is 4208667.

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, 20085 + ... + 23595.

Almost surely, 2^76680240 is an apocalyptic number.

76680240 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76680240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146323968).

76680240 is an abundant number, since it is smaller than the sum of its proper divisors (215967696).

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

76680240 is a wasteful number, since it uses less digits than its factorization.

76680240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3547 (or 3541 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 76680240 is about 8756.7254153593. The cubic root of 76680240 is about 424.8423683009.

The spelling of 76680240 in words is "seventy-six million, six hundred eighty thousand, two hundred forty".