976753080 has 144 divisors (see below), whose sum is σ = 3302437320. Its totient is φ = 259645824.

The previous prime is 976753073. The next prime is 976753081. The reversal of 976753080 is 80357679.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (976753081) 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 35 ways as a sum of consecutive naturals, for example, 3081082 + ... + 3081398.

Almost surely, 2^976753080 is an apocalyptic number.

976753080 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 976753080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1651218660).

976753080 is an abundant number, since it is smaller than the sum of its proper divisors (2325684240).

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

976753080 is an equidigital number, since it uses as much as digits as its factorization.

976753080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 976753080 is about 31253.0491312448. The cubic root of 976753080 is about 992.1901923526.

The spelling of 976753080 in words is "nine hundred seventy-six million, seven hundred fifty-three thousand, eighty".