976008852 has 180 divisors, whose sum is σ = 3197035380. Its totient is φ = 257354496.

The previous prime is 976008827. The next prime is 976008871. The reversal of 976008852 is 258800679.

976008852 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 69155856 + 906852996 = 8316^2 + 30114^2 .

It is a junction number, because it is equal to n+sod(n) for n = 976008798 and 976008807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 204024 + ... + 208752.

Almost surely, 2^976008852 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 976008852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1598517690).

976008852 is an abundant number, since it is smaller than the sum of its proper divisors (2221026528).

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

976008852 is a wasteful number, since it uses less digits than its factorization.

976008852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4772 (or 4754 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 976008852 is about 31241.1403761130. The cubic root of 976008852 is about 991.9381316015.

The spelling of 976008852 in words is "nine hundred seventy-six million, eight thousand, eight hundred fifty-two".