861332800 has 42 divisors (see below), whose sum is σ = 2119420958. Its totient is φ = 344532480.

The previous prime is 861332789. The next prime is 861332807. The reversal of 861332800 is 8233168.

It can be written as a sum of positive squares in 3 ways, for example, as 1201216 + 860131584 = 1096^2 + 29328^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (861332807) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 267567 + ... + 270766.

Almost surely, 2^861332800 is an apocalyptic number.

861332800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

861332800 is an abundant number, since it is smaller than the sum of its proper divisors (1258088158).

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

861332800 is a wasteful number, since it uses less digits than its factorization.

861332800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538355 (or 538340 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 861332800 is about 29348.4718511884. The cubic root of 861332800 is about 951.4595477723.

Adding to 861332800 its reverse (8233168), we get a palindrome (869565968).

The spelling of 861332800 in words is "eight hundred sixty-one million, three hundred thirty-two thousand, eight hundred".