79956000 has 144 divisors (see below), whose sum is σ = 283891608. Its totient is φ = 21312000.

The previous prime is 79955957. The next prime is 79956007. The reversal of 79956000 is 65997.

79956000 is a `hidden beast` number, since 7 + 99 + 560 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 30338064 + 49617936 = 5508^2 + 7044^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (79956007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34890 + ... + 37110.

Almost surely, 2^79956000 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 79956000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141945804).

79956000 is an abundant number, since it is smaller than the sum of its proper divisors (203935608).

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

79956000 is a wasteful number, since it uses less digits than its factorization.

79956000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2252 (or 2231 counting only the distinct ones).

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

The square root of 79956000 is about 8941.8118969256. The cubic root of 79956000 is about 430.8079275807.

The spelling of 79956000 in words is "seventy-nine million, nine hundred fifty-six thousand".