76338860 has 48 divisors (see below), whose sum is σ = 174636000. Its totient is φ = 27861504.

The previous prime is 76338851. The next prime is 76338869. The reversal of 76338860 is 6883367.

It is an interprime number because it is at equal distance from previous prime (76338851) and next prime (76338869).

It is not an unprimeable number, because it can be changed into a prime (76338869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21491 + ... + 24789.

It is an arithmetic number, because the mean of its divisors is an integer number (3638250).

Almost surely, 2^76338860 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 76338860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87318000).

76338860 is an abundant number, since it is smaller than the sum of its proper divisors (98297140).

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

76338860 is a wasteful number, since it uses less digits than its factorization.

76338860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3410 (or 3408 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 41.

The square root of 76338860 is about 8737.2112255570. The cubic root of 76338860 is about 424.2109650874.

The spelling of 76338860 in words is "seventy-six million, three hundred thirty-eight thousand, eight hundred sixty".