76392120 has 128 divisors (see below), whose sum is σ = 263808000. Its totient is φ = 17335296.

The previous prime is 76392097. The next prime is 76392139. The reversal of 76392120 is 2129367.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 166932 + ... + 167388.

It is an arithmetic number, because the mean of its divisors is an integer number (2061000).

Almost surely, 2^76392120 is an apocalyptic number.

76392120 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 76392120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131904000).

76392120 is an abundant number, since it is smaller than the sum of its proper divisors (187415880).

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

76392120 is a wasteful number, since it uses less digits than its factorization.

76392120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 76392120 is about 8740.2585774106. The cubic root of 76392120 is about 424.3095964777.

The spelling of 76392120 in words is "seventy-six million, three hundred ninety-two thousand, one hundred twenty".