79813152 has 72 divisors (see below), whose sum is σ = 229388796. Its totient is φ = 26320896.

The previous prime is 79813121. The next prime is 79813157. The reversal of 79813152 is 25131897.

It can be written as a sum of positive squares in 2 ways, for example, as 79495056 + 318096 = 8916^2 + 564^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 (79813157) 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, 26508 + ... + 29364.

It is a vampire number, since it can be written as 8571 ⋅ 9312 (with its own digits).

Almost surely, 2^79813152 is an apocalyptic number.

79813152 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 79813152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114694398).

79813152 is an abundant number, since it is smaller than the sum of its proper divisors (149575644).

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

79813152 is a wasteful number, since it uses less digits than its factorization.

79813152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2970 (or 2959 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 79813152 is about 8933.8206832239. The cubic root of 79813152 is about 430.5512166562.

The spelling of 79813152 in words is "seventy-nine million, eight hundred thirteen thousand, one hundred fifty-two".