79990400 has 96 divisors (see below), whose sum is σ = 225893280. Its totient is φ = 27417600.

The previous prime is 79990397. The next prime is 79990403. The reversal of 79990400 is 409997.

It is an interprime number because it is at equal distance from previous prime (79990397) and next prime (79990403).

It is not an unprimeable number, because it can be changed into a prime (79990403) 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, 20615 + ... + 24185.

It is an arithmetic number, because the mean of its divisors is an integer number (2353055).

Almost surely, 2^79990400 is an apocalyptic number.

79990400 is a gapful number since it is divisible by the number (70) 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 79990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112946640).

79990400 is an abundant number, since it is smaller than the sum of its proper divisors (145902880).

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

79990400 is a wasteful number, since it uses less digits than its factorization.

79990400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3602 (or 3585 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 38.

The square root of 79990400 is about 8943.7352375839. The cubic root of 79990400 is about 430.8697018394.

It can be divided in two parts, 79990 and 400, that multiplied together give a triangular number (31996000 = T₇₉₉₉).

The spelling of 79990400 in words is "seventy-nine million, nine hundred ninety thousand, four hundred".