1076706400 has 324 divisors, whose sum is σ = 3375698004. Its totient is φ = 334118400.

The previous prime is 1076706391. The next prime is 1076706413. The reversal of 1076706400 is 46076701.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 4743087 + ... + 4743313.

It is an arithmetic number, because the mean of its divisors is an integer number (10418821).

Almost surely, 2^1076706400 is an apocalyptic number.

1076706400 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 1076706400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1687849002).

1076706400 is an abundant number, since it is smaller than the sum of its proper divisors (2298991604).

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

1076706400 is a wasteful number, since it uses less digits than its factorization.

1076706400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 31.

The square root of 1076706400 is about 32813.2046591003. The cubic root of 1076706400 is about 1024.9415473310.

The spelling of 1076706400 in words is "one billion, seventy-six million, seven hundred six thousand, four hundred".