972002880 has 168 divisors, whose sum is σ = 3540127032. Its totient is φ = 243941376.

The previous prime is 972002879. The next prime is 972002921. The reversal of 972002880 is 88200279.

It can be written as a sum of positive squares in 4 ways, for example, as 76317696 + 895685184 = 8736^2 + 29928^2 .

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

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, 39034 + ... + 58886.

Almost surely, 2^972002880 is an apocalyptic number.

972002880 is a gapful number since it is divisible by the number (90) 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 972002880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1770063516).

972002880 is an abundant number, since it is smaller than the sum of its proper divisors (2568124152).

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

972002880 is a wasteful number, since it uses less digits than its factorization.

972002880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19893 (or 19880 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 972002880 is about 31176.9607242271. The cubic root of 972002880 is about 990.5791530162.

The spelling of 972002880 in words is "nine hundred seventy-two million, two thousand, eight hundred eighty".