76399120 has 80 divisors (see below), whose sum is σ = 204236928. Its totient is φ = 26035200.

The previous prime is 76399051. The next prime is 76399121. The reversal of 76399120 is 2199367.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 76399120.

It is not an unprimeable number, because it can be changed into a prime (76399121) 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, 126820 + ... + 127420.

Almost surely, 2^76399120 is an apocalyptic number.

76399120 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 76399120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102118464).

76399120 is an abundant number, since it is smaller than the sum of its proper divisors (127837808).

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

76399120 is a wasteful number, since it uses less digits than its factorization.

76399120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 37.

The square root of 76399120 is about 8740.6590140561. The cubic root of 76399120 is about 424.3225562632.

The spelling of 76399120 in words is "seventy-six million, three hundred ninety-nine thousand, one hundred twenty".