1078032000 has 256 divisors, whose sum is σ = 3676308480. Its totient is φ = 279244800.

The previous prime is 1078031917. The next prime is 1078032001. The reversal of 1078032000 is 2308701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1078032001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1775697 + ... + 1776303.

It is an arithmetic number, because the mean of its divisors is an integer number (14360580).

Almost surely, 2^1078032000 is an apocalyptic number.

1078032000 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 1078032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1838154240).

1078032000 is an abundant number, since it is smaller than the sum of its proper divisors (2598276480).

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

1078032000 is an equidigital number, since it uses as much as digits as its factorization.

1078032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 1078032000 is about 32833.3976310707. The cubic root of 1078032000 is about 1025.3619978575.

The spelling of 1078032000 in words is "one billion, seventy-eight million, thirty-two thousand".