976480200 has 72 divisors (see below), whose sum is σ = 3279352050. Its totient is φ = 260394240.

The previous prime is 976480171. The next prime is 976480201. The reversal of 976480200 is 2084679.

976480200 is a `hidden beast` number, since 9 + 7 + 648 + 0 + 2 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 721567044 + 254913156 = 26862^2 + 15966^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (976480201) 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 17 ways as a sum of consecutive naturals, for example, 269445 + ... + 273044.

Almost surely, 2^976480200 is an apocalyptic number.

976480200 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

976480200 is an abundant number, since it is smaller than the sum of its proper divisors (2302871850).

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

976480200 is a wasteful number, since it uses less digits than its factorization.

976480200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542511 (or 542499 counting only the distinct ones).

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

The square root of 976480200 is about 31248.6831722554. The cubic root of 976480200 is about 992.0977861678.

The spelling of 976480200 in words is "nine hundred seventy-six million, four hundred eighty thousand, two hundred".