76368040 has 64 divisors (see below), whose sum is σ = 198288000. Its totient is φ = 25928448.

The previous prime is 76368031. The next prime is 76368053. The reversal of 76368040 is 4086367.

It is a junction number, because it is equal to n+sod(n) for n = 76367987 and 76368005.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28686 + ... + 31234.

It is an arithmetic number, because the mean of its divisors is an integer number (3098250).

Almost surely, 2^76368040 is an apocalyptic number.

76368040 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 76368040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99144000).

76368040 is an abundant number, since it is smaller than the sum of its proper divisors (121919960).

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

76368040 is a wasteful number, since it uses less digits than its factorization.

76368040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2674 (or 2670 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 76368040 is about 8738.8809352228. The cubic root of 76368040 is about 424.2650087688.

The spelling of 76368040 in words is "seventy-six million, three hundred sixty-eight thousand, forty".