1076788000 has 96 divisors (see below), whose sum is σ = 2659024368. Its totient is φ = 428544000.

The previous prime is 1076787991. The next prime is 1076788003. The reversal of 1076788000 is 8876701.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 685584 + 1076102416 = 828^2 + 32804^2 .

It is not an unprimeable number, because it can be changed into a prime (1076788003) 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, 963442 + ... + 964558.

Almost surely, 2^1076788000 is an apocalyptic number.

1076788000 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 1076788000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1329512184).

1076788000 is an abundant number, since it is smaller than the sum of its proper divisors (1582236368).

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

1076788000 is a wasteful number, since it uses less digits than its factorization.

1076788000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1383 (or 1365 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 37.

The square root of 1076788000 is about 32814.4480374118. The cubic root of 1076788000 is about 1024.9674389815.

The spelling of 1076788000 in words is "one billion, seventy-six million, seven hundred eighty-eight thousand".