861276800 has 96 divisors (see below), whose sum is σ = 2201226300. Its totient is φ = 332595200.

The previous prime is 861276781. The next prime is 861276803. The reversal of 861276800 is 8672168.

It can be written as a sum of positive squares in 6 ways, for example, as 512931904 + 348344896 = 22648^2 + 18664^2 .

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (861276803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 88160 + ... + 97440.

Almost surely, 2^861276800 is an apocalyptic number.

861276800 is a gapful number since it is divisible by the number (80) 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 861276800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1100613150).

861276800 is an abundant number, since it is smaller than the sum of its proper divisors (1339949500).

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

861276800 is a wasteful number, since it uses less digits than its factorization.

861276800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9334 (or 9317 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 38.

The square root of 861276800 is about 29347.5177825996. The cubic root of 861276800 is about 951.4389274463.

The spelling of 861276800 in words is "eight hundred sixty-one million, two hundred seventy-six thousand, eight hundred".