76365408 has 96 divisors (see below), whose sum is σ = 241194240. Its totient is φ = 20666880.

The previous prime is 76365407. The next prime is 76365413. The reversal of 76365408 is 80456367.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76365407) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9778 + ... + 15758.

It is an arithmetic number, because the mean of its divisors is an integer number (2512440).

Almost surely, 2^76365408 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 76365408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120597120).

76365408 is an abundant number, since it is smaller than the sum of its proper divisors (164828832).

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

76365408 is a wasteful number, since it uses less digits than its factorization.

76365408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6020 (or 6012 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 76365408 is about 8738.7303425612. The cubic root of 76365408 is about 424.2601346604.

The spelling of 76365408 in words is "seventy-six million, three hundred sixty-five thousand, four hundred eight".