79056900 has 216 divisors, whose sum is σ = 277247880. Its totient is φ = 18708480.

The previous prime is 79056889. The next prime is 79056907. The reversal of 79056900 is 965097.

79056900 is a `hidden beast` number, since 7 + 90 + 569 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 46703556 + 32353344 = 6834^2 + 5688^2 .

It is a super-2 number, since 2×79056900² = 12499986875220000, which contains 22 as substring.

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 (79056907) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 339184 + ... + 339416.

It is an arithmetic number, because the mean of its divisors is an integer number (1283555).

Almost surely, 2^79056900 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 79056900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138623940).

79056900 is an abundant number, since it is smaller than the sum of its proper divisors (198190980).

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

79056900 is a wasteful number, since it uses less digits than its factorization.

79056900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 79056900 is about 8891.3947162411. The cubic root of 79056900 is about 429.1870343598.

The spelling of 79056900 in words is "seventy-nine million, fifty-six thousand, nine hundred".