1078704000 has 512 divisors, whose sum is σ = 4353523200. Its totient is φ = 260352000.

The previous prime is 1078703971. The next prime is 1078704013. The reversal of 1078704000 is 4078701.

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 63 ways as a sum of consecutive naturals, for example, 4751887 + ... + 4752113.

It is an arithmetic number, because the mean of its divisors is an integer number (8502975).

Almost surely, 2^1078704000 is an apocalyptic number.

1078704000 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 1078704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2176761600).

1078704000 is an abundant number, since it is smaller than the sum of its proper divisors (3274819200).

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

1078704000 is a wasteful number, since it uses less digits than its factorization.

1078704000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 248 counting only the distinct ones).

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

The square root of 1078704000 is about 32843.6295192843. The cubic root of 1078704000 is about 1025.5750095116.

It can be divided in two parts, 1078 and 704000, that added together give a triangular number (705078 = T₁₁₈₇).

The spelling of 1078704000 in words is "one billion, seventy-eight million, seven hundred four thousand".