1079870400 has 336 divisors, whose sum is σ = 4500148480. Its totient is φ = 246758400.

The previous prime is 1079870329. The next prime is 1079870489. The reversal of 1079870400 is 40789701.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×1079870400² = 2332240161592320000, which contains 22 as substring.

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

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 300615 + ... + 304185.

Almost surely, 2^1079870400 is an apocalyptic number.

1079870400 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 1079870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2250074240).

1079870400 is an abundant number, since it is smaller than the sum of its proper divisors (3420278080).

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

1079870400 is a wasteful number, since it uses less digits than its factorization.

1079870400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3609 (or 3588 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 1079870400 is about 32861.3815899454. The cubic root of 1079870400 is about 1025.9445269416.

The spelling of 1079870400 in words is "one billion, seventy-nine million, eight hundred seventy thousand, four hundred".