1079114400 has 864 divisors, whose sum is σ = 4936434048. Its totient is φ = 223948800.

The previous prime is 1079114381. The next prime is 1079114411. The reversal of 1079114400 is 44119701.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17690370 + ... + 17690430.

Almost surely, 2^1079114400 is an apocalyptic number.

1079114400 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 1079114400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2468217024).

1079114400 is an abundant number, since it is smaller than the sum of its proper divisors (3857319648).

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

1079114400 is a wasteful number, since it uses less digits than its factorization.

1079114400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 1079114400 is about 32849.8767120974. The cubic root of 1079114400 is about 1025.7050552633.

The spelling of 1079114400 in words is "one billion, seventy-nine million, one hundred fourteen thousand, four hundred".