1076068800 has 630 divisors, whose sum is σ = 4355991288. Its totient is φ = 260029440.

The previous prime is 1076068789. The next prime is 1076068811. The reversal of 1076068800 is 88606701.

It is an interprime number because it is at equal distance from previous prime (1076068789) and next prime (1076068811).

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 89 ways as a sum of consecutive naturals, for example, 46785589 + ... + 46785611.

Almost surely, 2^1076068800 is an apocalyptic number.

1076068800 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 1076068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2177995644).

1076068800 is an abundant number, since it is smaller than the sum of its proper divisors (3279922488).

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

1076068800 is a wasteful number, since it uses less digits than its factorization.

1076068800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 1076068800 is about 32803.4876194590. The cubic root of 1076068800 is about 1024.7391920218.

The spelling of 1076068800 in words is "one billion, seventy-six million, sixty-eight thousand, eight hundred".