76919040 has 216 divisors, whose sum is σ = 290803968. Its totient is φ = 18616320.

The previous prime is 76919021. The next prime is 76919047. The reversal of 76919040 is 4091967.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 76918986 and 76919004.

It is not an unprimeable number, because it can be changed into a prime (76919047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126417 + ... + 127023.

Almost surely, 2^76919040 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 76919040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145401984).

76919040 is an abundant number, since it is smaller than the sum of its proper divisors (213884928).

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

76919040 is a wasteful number, since it uses less digits than its factorization.

76919040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 76919040 is about 8770.3500500265. The cubic root of 76919040 is about 425.2829304066.

The spelling of 76919040 in words is "seventy-six million, nine hundred nineteen thousand, forty".