975780 has 96 divisors (see below), whose sum is σ = 3292800. Its totient is φ = 238464.

The previous prime is 975743. The next prime is 975797. The reversal of 975780 is 87579.

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

It is a nialpdrome in base 5.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6951 + ... + 7089.

It is an arithmetic number, because the mean of its divisors is an integer number (34300).

2⁹⁷⁵⁷⁸⁰ is an apocalyptic number.

975780 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 975780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1646400).

975780 is an abundant number, since it is smaller than the sum of its proper divisors (2317020).

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

975780 is a wasteful number, since it uses less digits than its factorization.

975780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The square root of 975780 is about 987.8157722976. The cubic root of 975780 is about 99.1860596523.

The spelling of 975780 in words is "nine hundred seventy-five thousand, seven hundred eighty".