79476768 has 192 divisors, whose sum is σ = 280869120. Its totient is φ = 21344256.

The previous prime is 79476743. The next prime is 79476781. The reversal of 79476768 is 86767497.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 102430 + ... + 103202.

It is an arithmetic number, because the mean of its divisors is an integer number (1462860).

Almost surely, 2^79476768 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 79476768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140434560).

79476768 is an abundant number, since it is smaller than the sum of its proper divisors (201392352).

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

79476768 is a wasteful number, since it uses less digits than its factorization.

79476768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 802 counting only the distinct ones).

The product of its digits is 3556224, while the sum is 54.

The square root of 79476768 is about 8914.9743690041. The cubic root of 79476768 is about 429.9454915582.

The spelling of 79476768 in words is "seventy-nine million, four hundred seventy-six thousand, seven hundred sixty-eight".