1077088000 has 144 divisors (see below), whose sum is σ = 2718634464. Its totient is φ = 425164800.

The previous prime is 1077087997. The next prime is 1077088009. The reversal of 1077088000 is 8807701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1077088009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3103827 + ... + 3104173.

It is an arithmetic number, because the mean of its divisors is an integer number (18879406).

Almost surely, 2^1077088000 is an apocalyptic number.

1077088000 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 1077088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1359317232).

1077088000 is an abundant number, since it is smaller than the sum of its proper divisors (1641546464).

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

1077088000 is an frugal number, since it uses more digits than its factorization.

1077088000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 31.

The square root of 1077088000 is about 32819.0188762553. The cubic root of 1077088000 is about 1025.0626176301.

The spelling of 1077088000 in words is "one billion, seventy-seven million, eighty-eight thousand".