1087776000 has 288 divisors, whose sum is σ = 4017686400. Its totient is φ = 289843200.

The previous prime is 1087775999. The next prime is 1087776023. The reversal of 1087776000 is 6777801.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 863371 + ... + 864629.

It is an arithmetic number, because the mean of its divisors is an integer number (13950300).

Almost surely, 2^1087776000 is an apocalyptic number.

1087776000 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 1087776000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2008843200).

1087776000 is an abundant number, since it is smaller than the sum of its proper divisors (2929910400).

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

1087776000 is an equidigital number, since it uses as much as digits as its factorization.

1087776000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1299 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 36.

The square root of 1087776000 is about 32981.4493314045. The cubic root of 1087776000 is about 1028.4420472182.

The spelling of 1087776000 in words is "one billion, eighty-seven million, seven hundred seventy-six thousand".