76920192 has 96 divisors (see below), whose sum is σ = 229636680. Its totient is φ = 25629696.

The previous prime is 76920191. The next prime is 76920197. The reversal of 76920192 is 29102967.

It is a tau number, because it is divible by the number of its divisors (96).

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 (76920191) 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 11 ways as a sum of consecutive naturals, for example, 29868 + ... + 32340.

Almost surely, 2^76920192 is an apocalyptic number.

76920192 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 76920192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114818340).

76920192 is an abundant number, since it is smaller than the sum of its proper divisors (152716488).

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

76920192 is an equidigital number, since it uses as much as digits as its factorization.

76920192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2502 (or 2478 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 76920192 is about 8770.4157256085. The cubic root of 76920192 is about 425.2850535198.

Subtracting from 76920192 its reverse (29102967), we obtain a square (47817225 = 6915²).

The spelling of 76920192 in words is "seventy-six million, nine hundred twenty thousand, one hundred ninety-two".