76956480 has 140 divisors (see below), whose sum is σ = 273839940. Its totient is φ = 20514816.

The previous prime is 76956469. The next prime is 76956497. The reversal of 76956480 is 8465967.

76956480 is a `hidden beast` number, since 7 + 6 + 9 + 564 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9585216 + 67371264 = 3096^2 + 8208^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 24436 + ... + 27404.

Almost surely, 2^76956480 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 76956480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136919970).

76956480 is an abundant number, since it is smaller than the sum of its proper divisors (196883460).

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

76956480 is a wasteful number, since it uses less digits than its factorization.

76956480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2998 (or 2979 counting only the distinct ones).

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

The square root of 76956480 is about 8772.4842547593. The cubic root of 76956480 is about 425.3519207381.

The spelling of 76956480 in words is "seventy-six million, nine hundred fifty-six thousand, four hundred eighty".