76908300 has 144 divisors (see below), whose sum is σ = 259483392. Its totient is φ = 17222400.

The previous prime is 76908277. The next prime is 76908313. The reversal of 76908300 is 380967.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110955 + ... + 111645.

It is an arithmetic number, because the mean of its divisors is an integer number (1801968).

Almost surely, 2^76908300 is an apocalyptic number.

76908300 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 76908300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129741696).

76908300 is an abundant number, since it is smaller than the sum of its proper divisors (182575092).

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

76908300 is a wasteful number, since it uses less digits than its factorization.

76908300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 76908300 is about 8769.7377383819. The cubic root of 76908300 is about 425.2631357790.

The spelling of 76908300 in words is "seventy-six million, nine hundred eight thousand, three hundred".