975080 has 32 divisors (see below), whose sum is σ = 2311200. Its totient is φ = 369216.

The previous prime is 975071. The next prime is 975083. The reversal of 975080 is 80579.

It is a happy number.

975080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (975083) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 119 + ... + 1401.

It is an arithmetic number, because the mean of its divisors is an integer number (72225).

2⁹⁷⁵⁰⁸⁰ 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 975080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1155600).

975080 is an abundant number, since it is smaller than the sum of its proper divisors (1336120).

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

975080 is a wasteful number, since it uses less digits than its factorization.

975080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1313 (or 1309 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 29.

The square root of 975080 is about 987.4613916503. The cubic root of 975080 is about 99.1623361180.

The spelling of 975080 in words is "nine hundred seventy-five thousand, eighty".