76980456 has 96 divisors (see below), whose sum is σ = 247141440. Its totient is φ = 21990528.

The previous prime is 76980451. The next prime is 76980469. The reversal of 76980456 is 65408967.

It is not an unprimeable number, because it can be changed into a prime (76980451) 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 23 ways as a sum of consecutive naturals, for example, 10780 + ... + 16436.

It is an arithmetic number, because the mean of its divisors is an integer number (2574390).

Almost surely, 2^76980456 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 76980456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123570720).

76980456 is an abundant number, since it is smaller than the sum of its proper divisors (170160984).

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

76980456 is a wasteful number, since it uses less digits than its factorization.

76980456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5685 (or 5669 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 76980456 is about 8773.8506939656. The cubic root of 76980456 is about 425.3960893329.

It can be divided in two parts, 769 and 80456, that added together give a square (81225 = 285²).

The spelling of 76980456 in words is "seventy-six million, nine hundred eighty thousand, four hundred fifty-six".