76751920 has 160 divisors (see below), whose sum is σ = 218557440. Its totient is φ = 24499200.

The previous prime is 76751911. The next prime is 76751953. The reversal of 76751920 is 2915767.

It is a self number, because there is not a number n which added to its sum of digits gives 76751920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 759870 + ... + 759970.

It is an arithmetic number, because the mean of its divisors is an integer number (1365984).

Almost surely, 2^76751920 is an apocalyptic number.

76751920 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 76751920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109278720).

76751920 is an abundant number, since it is smaller than the sum of its proper divisors (141805520).

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

76751920 is a wasteful number, since it uses less digits than its factorization.

76751920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 37.

The square root of 76751920 is about 8760.8173134702. The cubic root of 76751920 is about 424.9747066839.

The spelling of 76751920 in words is "seventy-six million, seven hundred fifty-one thousand, nine hundred twenty".