10772800 has 42 divisors (see below), whose sum is σ = 26511758. Its totient is φ = 4308480.

The previous prime is 10772789. The next prime is 10772803. The reversal of 10772800 is 827701.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 3504384 + 7268416 = 1872^2 + 2696^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10772803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1767 + ... + 4966.

Almost surely, 2^10772800 is an apocalyptic number.

10772800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10772800 is an abundant number, since it is smaller than the sum of its proper divisors (15738958).

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

10772800 is an equidigital number, since it uses as much as digits as its factorization.

10772800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6755 (or 6740 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 25.

The square root of 10772800 is about 3282.1943879057. The cubic root of 10772800 is about 220.8561678852.

The spelling of 10772800 in words is "ten million, seven hundred seventy-two thousand, eight hundred".