1078286400 has 252 divisors, whose sum is σ = 3875015872. Its totient is φ = 284359680.

The previous prime is 1078286399. The next prime is 1078286411. The reversal of 1078286400 is 46828701.

1078286400 is a `hidden beast` number, since 1 + 0 + 7 + 8 + 2 + 8 + 640 + 0 = 666.

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 35 ways as a sum of consecutive naturals, for example, 1482837 + ... + 1483563.

Almost surely, 2^1078286400 is an apocalyptic number.

1078286400 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 1078286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1937507936).

1078286400 is an abundant number, since it is smaller than the sum of its proper divisors (2796729472).

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

1078286400 is a wasteful number, since it uses less digits than its factorization.

1078286400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 1078286400 is about 32837.2715066280. The cubic root of 1078286400 is about 1025.4426483935.

The spelling of 1078286400 in words is "one billion, seventy-eight million, two hundred eighty-six thousand, four hundred".