1078070400 has 576 divisors, whose sum is σ = 4350659040. Its totient is φ = 251904000.

The previous prime is 1078070381. The next prime is 1078070417. The reversal of 1078070400 is 40708701.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12988759 + ... + 12988841.

Almost surely, 2^1078070400 is an apocalyptic number.

1078070400 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 1078070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2175329520).

1078070400 is an abundant number, since it is smaller than the sum of its proper divisors (3272588640).

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

1078070400 is a wasteful number, since it uses less digits than its factorization.

1078070400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 1078070400 is about 32833.9823962918. The cubic root of 1078070400 is about 1025.3741723363.

The spelling of 1078070400 in words is "one billion, seventy-eight million, seventy thousand, four hundred".