1078056000 has 896 divisors, whose sum is σ = 4868997120. Its totient is φ = 228096000.

The previous prime is 1078055933. The next prime is 1078056017. The reversal of 1078056000 is 6508701.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 34775985 + ... + 34776015.

Almost surely, 2^1078056000 is an apocalyptic number.

1078056000 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 1078056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2434498560).

1078056000 is an abundant number, since it is smaller than the sum of its proper divisors (3790941120).

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

1078056000 is a wasteful number, since it uses less digits than its factorization.

1078056000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 1078056000 is about 32833.7631105544. The cubic root of 1078056000 is about 1025.3696069406.

The spelling of 1078056000 in words is "one billion, seventy-eight million, fifty-six thousand".