970076800 has 384 divisors, whose sum is σ = 3108372480. Its totient is φ = 290304000.

The previous prime is 970076759. The next prime is 970076801. The reversal of 970076800 is 8670079.

It is a self number, because there is not a number n which added to its sum of digits gives 970076800.

It is not an unprimeable number, because it can be changed into a prime (970076801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7638337 + ... + 7638463.

It is an arithmetic number, because the mean of its divisors is an integer number (8094720).

Almost surely, 2^970076800 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 970076800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1554186240).

970076800 is an abundant number, since it is smaller than the sum of its proper divisors (2138295680).

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

970076800 is a wasteful number, since it uses less digits than its factorization.

970076800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 37.

The square root of 970076800 is about 31146.0559300853. The cubic root of 970076800 is about 989.9244237107.

The spelling of 970076800 in words is "nine hundred seventy million, seventy-six thousand, eight hundred".