976727680 has 128 divisors (see below), whose sum is σ = 2511648000. Its totient is φ = 362041344.

The previous prime is 976727677. The next prime is 976727681. The reversal of 976727680 is 86727679.

It is a happy number.

976727680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (976727681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 570666 + ... + 572374.

It is an arithmetic number, because the mean of its divisors is an integer number (19622250).

Almost surely, 2^976727680 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 976727680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1255824000).

976727680 is an abundant number, since it is smaller than the sum of its proper divisors (1534920320).

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

976727680 is a wasteful number, since it uses less digits than its factorization.

976727680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1794 (or 1782 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 52.

The square root of 976727680 is about 31252.6427682524. The cubic root of 976727680 is about 992.1815917998.

The spelling of 976727680 in words is "nine hundred seventy-six million, seven hundred twenty-seven thousand, six hundred eighty".