976735020 has 72 divisors (see below), whose sum is σ = 2859027696. Its totient is φ = 249130112.

The previous prime is 976735013. The next prime is 976735021. The reversal of 976735020 is 20537679.

It is a super-2 number, since 2×976735020² = 1908022598588800800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 976735020.

It is not an unprimeable number, because it can be changed into a prime (976735021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16354 + ... + 47126.

It is an arithmetic number, because the mean of its divisors is an integer number (39708718).

Almost surely, 2^976735020 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 976735020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1429513848).

976735020 is an abundant number, since it is smaller than the sum of its proper divisors (1882292676).

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

976735020 is a wasteful number, since it uses less digits than its factorization.

976735020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30831 (or 30806 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 39.

The square root of 976735020 is about 31252.7601981009. The cubic root of 976735020 is about 992.1840771717.

The spelling of 976735020 in words is "nine hundred seventy-six million, seven hundred thirty-five thousand, twenty".