76968792 has 144 divisors (see below), whose sum is σ = 231318360. Its totient is φ = 23970816.

The previous prime is 76968761. The next prime is 76968799. The reversal of 76968792 is 29786967.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (2286144) is a multiple of the sum of its prime factors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76968799) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 561748 + ... + 561884.

Almost surely, 2^76968792 is an apocalyptic number.

76968792 is a gapful number since it is divisible by the number (72) 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 76968792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115659180).

76968792 is an abundant number, since it is smaller than the sum of its proper divisors (154349568).

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

76968792 is a wasteful number, since it uses less digits than its factorization.

76968792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 159 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 54.

The square root of 76968792 is about 8773.1859663408. The cubic root of 76968792 is about 425.3746030541.

The spelling of 76968792 in words is "seventy-six million, nine hundred sixty-eight thousand, seven hundred ninety-two".