1008378800 has 360 divisors, whose sum is σ = 3073001232. Its totient is φ = 313344000.

The previous prime is 1008378737. The next prime is 1008378823. The reversal of 1008378800 is 88738001.

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, 16530770 + ... + 16530830.

Almost surely, 2^1008378800 is an apocalyptic number.

1008378800 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 1008378800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1536500616).

1008378800 is an abundant number, since it is smaller than the sum of its proper divisors (2064622432).

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

1008378800 is a wasteful number, since it uses less digits than its factorization.

1008378800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 35.

The square root of 1008378800 is about 31754.9807116931. The cubic root of 1008378800 is about 1002.7851689655.

The spelling of 1008378800 in words is "one billion, eight million, three hundred seventy-eight thousand, eight hundred".