76339680 has 96 divisors (see below), whose sum is σ = 242240544. Its totient is φ = 20207616.

The previous prime is 76339657. The next prime is 76339693. The reversal of 76339680 is 8693367.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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, 74854 + ... + 75866.

It is an arithmetic number, because the mean of its divisors is an integer number (2523339).

Almost surely, 2^76339680 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 76339680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121120272).

76339680 is an abundant number, since it is smaller than the sum of its proper divisors (165900864).

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

76339680 is a wasteful number, since it uses less digits than its factorization.

76339680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1188 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The square root of 76339680 is about 8737.2581511593. The cubic root of 76339680 is about 424.2124839807.

The spelling of 76339680 in words is "seventy-six million, three hundred thirty-nine thousand, six hundred eighty".