975878784 has 96 divisors (see below), whose sum is σ = 2844004800. Its totient is φ = 321145344.

The previous prime is 975878777. The next prime is 975878807. The reversal of 975878784 is 487878579.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×975878784² = 1904678802122637312, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85647 + ... + 96369.

It is an arithmetic number, because the mean of its divisors is an integer number (29625050).

Almost surely, 2^975878784 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 975878784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1422002400).

975878784 is an abundant number, since it is smaller than the sum of its proper divisors (1868126016).

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

975878784 is a wasteful number, since it uses less digits than its factorization.

975878784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10822 (or 10807 counting only the distinct ones).

The product of its digits is 31610880, while the sum is 63.

The square root of 975878784 is about 31239.0586285823. The cubic root of 975878784 is about 991.8940660379.

The spelling of 975878784 in words is "nine hundred seventy-five million, eight hundred seventy-eight thousand, seven hundred eighty-four".