976042080 has 288 divisors, whose sum is σ = 3799190304. Its totient is φ = 226050048.

The previous prime is 976042073. The next prime is 976042087. The reversal of 976042080 is 80240679.

It is an interprime number because it is at equal distance from previous prime (976042073) and next prime (976042087).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (976042087) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 316707 + ... + 319773.

It is an arithmetic number, because the mean of its divisors is an integer number (13191633).

Almost surely, 2^976042080 is an apocalyptic number.

976042080 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 976042080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1899595152).

976042080 is an abundant number, since it is smaller than the sum of its proper divisors (2823148224).

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

976042080 is a wasteful number, since it uses less digits than its factorization.

976042080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3118 (or 3107 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 976042080 is about 31241.6721703561. The cubic root of 976042080 is about 991.9493882434.

The spelling of 976042080 in words is "nine hundred seventy-six million, forty-two thousand, eighty".