1076856800 has 72 divisors (see below), whose sum is σ = 2693077632. Its totient is φ = 420224000.

The previous prime is 1076856791. The next prime is 1076856883. The reversal of 1076856800 is 86586701.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16385 + ... + 49215.

It is an arithmetic number, because the mean of its divisors is an integer number (37403856).

Almost surely, 2^1076856800 is an apocalyptic number.

1076856800 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 1076856800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1346538816).

1076856800 is an abundant number, since it is smaller than the sum of its proper divisors (1616220832).

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

1076856800 is a wasteful number, since it uses less digits than its factorization.

1076856800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32892 (or 32879 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 41.

The square root of 1076856800 is about 32815.4963393821. The cubic root of 1076856800 is about 1024.9892681803.

The spelling of 1076856800 in words is "one billion, seventy-six million, eight hundred fifty-six thousand, eight hundred".