76681296 has 80 divisors (see below), whose sum is σ = 221860800. Its totient is φ = 25356672.

The previous prime is 76681277. The next prime is 76681309. The reversal of 76681296 is 69218667.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59410 + ... + 60686.

It is an arithmetic number, because the mean of its divisors is an integer number (2773260).

Almost surely, 2^76681296 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 76681296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110930400).

76681296 is an abundant number, since it is smaller than the sum of its proper divisors (145179504).

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

76681296 is a wasteful number, since it uses less digits than its factorization.

76681296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1433 (or 1421 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 76681296 is about 8756.7857116638. The cubic root of 76681296 is about 424.8443185273.

The spelling of 76681296 in words is "seventy-six million, six hundred eighty-one thousand, two hundred ninety-six".