73787680 has 48 divisors (see below), whose sum is σ = 181911744. Its totient is φ = 28230400.

The previous prime is 73787663. The next prime is 73787717. The reversal of 73787680 is 8678737.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a self number, because there is not a number n which added to its sum of digits gives 73787680.

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 7 ways as a sum of consecutive naturals, for example, 6346 + ... + 13705.

It is an arithmetic number, because the mean of its divisors is an integer number (3789828).

Almost surely, 2^73787680 is an apocalyptic number.

It is an amenable number.

73787680 is an abundant number, since it is smaller than the sum of its proper divisors (108124064).

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

73787680 is a wasteful number, since it uses less digits than its factorization.

73787680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20089 (or 20081 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 46.

The square root of 73787680 is about 8589.9755529338. The cubic root of 73787680 is about 419.4317333627.

The spelling of 73787680 in words is "seventy-three million, seven hundred eighty-seven thousand, six hundred eighty".