76628640 has 192 divisors, whose sum is σ = 275208192. Its totient is φ = 17740800.

The previous prime is 76628633. The next prime is 76628641. The reversal of 76628640 is 4682667.

It is not an unprimeable number, because it can be changed into a prime (76628641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121125 + ... + 121755.

It is an arithmetic number, because the mean of its divisors is an integer number (1433376).

Almost surely, 2^76628640 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 76628640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137604096).

76628640 is an abundant number, since it is smaller than the sum of its proper divisors (198579552).

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

76628640 is a wasteful number, since it uses less digits than its factorization.

76628640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 683 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 76628640 is about 8753.7786126906. The cubic root of 76628640 is about 424.7470513270.

The spelling of 76628640 in words is "seventy-six million, six hundred twenty-eight thousand, six hundred forty".