76730680 has 128 divisors (see below), whose sum is σ = 196862400. Its totient is φ = 26726400.

The previous prime is 76730671. The next prime is 76730681. The reversal of 76730680 is 8603767.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76730681) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1257850 + ... + 1257910.

Almost surely, 2^76730680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76730680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98431200).

76730680 is an abundant number, since it is smaller than the sum of its proper divisors (120131720).

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

76730680 is a wasteful number, since it uses less digits than its factorization.

76730680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 37.

The square root of 76730680 is about 8759.6050139261. The cubic root of 76730680 is about 424.9355011694.

The spelling of 76730680 in words is "seventy-six million, seven hundred thirty thousand, six hundred eighty".