861376800 has 72 divisors (see below), whose sum is σ = 2803789296. Its totient is φ = 229699840.

The previous prime is 861376771. The next prime is 861376801. The reversal of 861376800 is 8673168.

It is not an unprimeable number, because it can be changed into a prime (861376801) 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 11 ways as a sum of consecutive naturals, for example, 177054 + ... + 181853.

It is an arithmetic number, because the mean of its divisors is an integer number (38941518).

Almost surely, 2^861376800 is an apocalyptic number.

861376800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

861376800 is an abundant number, since it is smaller than the sum of its proper divisors (1942412496).

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

861376800 is a wasteful number, since it uses less digits than its factorization.

861376800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358930 (or 358917 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 861376800 is about 29349.2214547507. The cubic root of 861376800 is about 951.4757488301.

The spelling of 861376800 in words is "eight hundred sixty-one million, three hundred seventy-six thousand, eight hundred".