1077008000 has 128 divisors (see below), whose sum is σ = 2713314240. Its totient is φ = 425088000.

The previous prime is 1077007999. The next prime is 1077008039. The reversal of 1077008000 is 8007701.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1327595 + ... + 1328405.

Almost surely, 2^1077008000 is an apocalyptic number.

1077008000 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 1077008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1356657120).

1077008000 is an abundant number, since it is smaller than the sum of its proper divisors (1636306240).

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

1077008000 is an frugal number, since it uses more digits than its factorization.

1077008000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 923 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 23.

The square root of 1077008000 is about 32817.8000481446. The cubic root of 1077008000 is about 1025.0372383854.

The spelling of 1077008000 in words is "one billion, seventy-seven million, eight thousand".