975280 has 40 divisors (see below), whose sum is σ = 2312352. Its totient is φ = 382464.

The previous prime is 975277. The next prime is 975281. The reversal of 975280 is 82579.

975280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (975281) 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, 5757 + ... + 5923.

2⁹⁷⁵²⁸⁰ 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 975280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1156176).

975280 is an abundant number, since it is smaller than the sum of its proper divisors (1337072).

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

975280 is a wasteful number, since it uses less digits than its factorization.

975280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

The square root of 975280 is about 987.5626562401. The cubic root of 975280 is about 99.1691154289.

The spelling of 975280 in words is "nine hundred seventy-five thousand, two hundred eighty".