76992256 has 72 divisors (see below), whose sum is σ = 176601600. Its totient is φ = 33131520.

The previous prime is 76992241. The next prime is 76992257. The reversal of 76992256 is 65229967.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76992257) 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 7 ways as a sum of consecutive naturals, for example, 52785 + ... + 54223.

It is an arithmetic number, because the mean of its divisors is an integer number (2452800).

Almost surely, 2^76992256 is an apocalyptic number.

76992256 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76992256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88300800).

76992256 is an abundant number, since it is smaller than the sum of its proper divisors (99609344).

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

76992256 is a wasteful number, since it uses less digits than its factorization.

76992256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1485 (or 1471 counting only the distinct ones).

The product of its digits is 408240, while the sum is 46.

The square root of 76992256 is about 8774.5231209451. The cubic root of 76992256 is about 425.4178239291.

It can be divided in two parts, 769 and 92256, that added together give a square (93025 = 305²).

The spelling of 76992256 in words is "seventy-six million, nine hundred ninety-two thousand, two hundred fifty-six".