79352448 has 128 divisors (see below), whose sum is σ = 245877120. Its totient is φ = 22204416.

The previous prime is 79352443. The next prime is 79352453. The reversal of 79352448 is 84425397.

It is an interprime number because it is at equal distance from previous prime (79352443) and next prime (79352453).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×79352448² = 12593622007185408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79352443) 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 15 ways as a sum of consecutive naturals, for example, 142186 + ... + 142742.

It is an arithmetic number, because the mean of its divisors is an integer number (1920915).

Almost surely, 2^79352448 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 79352448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122938560).

79352448 is an abundant number, since it is smaller than the sum of its proper divisors (166524672).

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

79352448 is a wasteful number, since it uses less digits than its factorization.

79352448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 622 counting only the distinct ones).

The product of its digits is 241920, while the sum is 42.

The square root of 79352448 is about 8907.9991019308. Note that the first 3 decimals coincide. The cubic root of 79352448 is about 429.7211965896.

It can be divided in two parts, 79352 and 448, that added together give a triangular number (79800 = T₃₉₉).

The spelling of 79352448 in words is "seventy-nine million, three hundred fifty-two thousand, four hundred forty-eight".