79146000 has 120 divisors (see below), whose sum is σ = 276493464. Its totient is φ = 21100800.

The previous prime is 79145981. The next prime is 79146029. The reversal of 79146000 is 64197.

It can be written as a sum of positive squares in 4 ways, for example, as 3873024 + 75272976 = 1968^2 + 8676^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15802 + ... + 20198.

Almost surely, 2^79146000 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 79146000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138246732).

79146000 is an abundant number, since it is smaller than the sum of its proper divisors (197347464).

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

79146000 is a wasteful number, since it uses less digits than its factorization.

79146000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4426 (or 4407 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 79146000 is about 8896.4037678154. The cubic root of 79146000 is about 429.3482102874.

The spelling of 79146000 in words is "seventy-nine million, one hundred forty-six thousand".