1080772000 has 384 divisors, whose sum is σ = 3453166080. Its totient is φ = 325248000.

The previous prime is 1080771977. The next prime is 1080772027. The reversal of 1080772000 is 2770801.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 37267986 + ... + 37268014.

It is an arithmetic number, because the mean of its divisors is an integer number (8992620).

Almost surely, 2^1080772000 is an apocalyptic number.

1080772000 is a gapful number since it is divisible by the number (10) 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 1080772000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1726583040).

1080772000 is an abundant number, since it is smaller than the sum of its proper divisors (2372394080).

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

1080772000 is an equidigital number, since it uses as much as digits as its factorization.

1080772000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 54 counting only the distinct ones).

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

The square root of 1080772000 is about 32875.0969580319. The cubic root of 1080772000 is about 1026.2299730084.

The spelling of 1080772000 in words is "one billion, eighty million, seven hundred seventy-two thousand".