975350880 has 432 divisors, whose sum is σ = 4046855904. Its totient is φ = 212889600.

The previous prime is 975350869. The next prime is 975350917. The reversal of 975350880 is 88053579.

975350880 is a `hidden beast` number, since 97 + 53 + 508 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1622580 + ... + 1623180.

It is an arithmetic number, because the mean of its divisors is an integer number (9367722).

Almost surely, 2^975350880 is an apocalyptic number.

975350880 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 975350880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2023427952).

975350880 is an abundant number, since it is smaller than the sum of its proper divisors (3071505024).

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

975350880 is a wasteful number, since it uses less digits than its factorization.

975350880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 975350880 is about 31230.6080632446. The cubic root of 975350880 is about 991.7151779421.

The spelling of 975350880 in words is "nine hundred seventy-five million, three hundred fifty thousand, eight hundred eighty".