79825200 has 480 divisors, whose sum is σ = 340978176. Its totient is φ = 15482880.

The previous prime is 79825199. The next prime is 79825201. The reversal of 79825200 is 252897.

It is an interprime number because it is at equal distance from previous prime (79825199) and next prime (79825201).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79825201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1856379 + ... + 1856421.

Almost surely, 2^79825200 is an apocalyptic number.

79825200 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 79825200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170489088).

79825200 is an abundant number, since it is smaller than the sum of its proper divisors (261152976).

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

79825200 is a wasteful number, since it uses less digits than its factorization.

79825200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 79825200 is about 8934.4949493522. The cubic root of 79825200 is about 430.5728798363.

The spelling of 79825200 in words is "seventy-nine million, eight hundred twenty-five thousand, two hundred".