79967952 has 80 divisors (see below), whose sum is σ = 235788480. Its totient is φ = 25930368.

The previous prime is 79967947. The next prime is 79967969. The reversal of 79967952 is 25976997.

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

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 13483 + ... + 18485.

It is an arithmetic number, because the mean of its divisors is an integer number (2947356).

Almost surely, 2^79967952 is an apocalyptic number.

79967952 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 79967952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117894240).

79967952 is an abundant number, since it is smaller than the sum of its proper divisors (155820528).

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

79967952 is a wasteful number, since it uses less digits than its factorization.

79967952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5057 (or 5045 counting only the distinct ones).

The product of its digits is 2143260, while the sum is 54.

The square root of 79967952 is about 8942.4801928771. The cubic root of 79967952 is about 430.8293925523.

The spelling of 79967952 in words is "seventy-nine million, nine hundred sixty-seven thousand, nine hundred fifty-two".