76045392 has 60 divisors (see below), whose sum is σ = 220715040. Its totient is φ = 25347168.

The previous prime is 76045367. The next prime is 76045393. The reversal of 76045392 is 29354067.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76045393) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5892 + ... + 13667.

It is an arithmetic number, because the mean of its divisors is an integer number (3678584).

Almost surely, 2^76045392 is an apocalyptic number.

76045392 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

76045392 is an abundant number, since it is smaller than the sum of its proper divisors (144669648).

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

76045392 is a wasteful number, since it uses less digits than its factorization.

76045392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19582 (or 19564 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 76045392 is about 8720.4009082152. The cubic root of 76045392 is about 423.6666716877. Note that the first 4 decimals are identical.

It can be divided in two parts, 7604 and 5392, that added together give a square (12996 = 114²).

The spelling of 76045392 in words is "seventy-six million, forty-five thousand, three hundred ninety-two".