76737920 has 96 divisors (see below), whose sum is σ = 213490080. Its totient is φ = 26299392.

The previous prime is 76737919. The next prime is 76737943. The reversal of 76737920 is 2973767.

It is a congruent 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 11 ways as a sum of consecutive naturals, for example, 30137 + ... + 32583.

It is an arithmetic number, because the mean of its divisors is an integer number (2223855).

Almost surely, 2^76737920 is an apocalyptic number.

76737920 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 76737920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106745040).

76737920 is an abundant number, since it is smaller than the sum of its proper divisors (136752160).

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

76737920 is a wasteful number, since it uses less digits than its factorization.

76737920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2480 (or 2461 counting only the distinct ones).

The product of its (nonzero) digits is 111132, while the sum is 41.

The square root of 76737920 is about 8760.0182648211. The cubic root of 76737920 is about 424.9488658203.

The spelling of 76737920 in words is "seventy-six million, seven hundred thirty-seven thousand, nine hundred twenty".