76007920 has 20 divisors (see below), whose sum is σ = 176718600. Its totient is φ = 30403136.

The previous prime is 76007909. The next prime is 76007941. The reversal of 76007920 is 2970067.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (20).

76007920 is a modest number, since divided by 7920 gives 7600 as remainder.

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 3 ways as a sum of consecutive naturals, for example, 474970 + ... + 475129.

It is an arithmetic number, because the mean of its divisors is an integer number (8835930).

Almost surely, 2^76007920 is an apocalyptic number.

It is an amenable number.

76007920 is an abundant number, since it is smaller than the sum of its proper divisors (100710680).

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

76007920 is a wasteful number, since it uses less digits than its factorization.

76007920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 950112 (or 950106 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 31.

The square root of 76007920 is about 8718.2521184008. The cubic root of 76007920 is about 423.5970718279.

Adding to 76007920 its reverse (2970067), we get a palindrome (78977987).

The spelling of 76007920 in words is "seventy-six million, seven thousand, nine hundred twenty".