8772800 has 42 divisors (see below), whose sum is σ = 21590508. Its totient is φ = 3508480.

The previous prime is 8772791. The next prime is 8772809. The reversal of 8772800 is 82778.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (8772791) and next prime (8772809).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (8772809) 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, 1142 + ... + 4341.

Almost surely, 2^8772800 is an apocalyptic number.

8772800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8772800 is an abundant number, since it is smaller than the sum of its proper divisors (12817708).

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

8772800 is a wasteful number, since it uses less digits than its factorization.

8772800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5505 (or 5490 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 32.

The square root of 8772800 is about 2961.8912876741. The cubic root of 8772800 is about 206.2430912899.

The spelling of 8772800 in words is "eight million, seven hundred seventy-two thousand, eight hundred".