387878400 has 720 divisors, whose sum is σ = 1754616864. Its totient is φ = 79626240.

The previous prime is 387878383. The next prime is 387878411. The reversal of 387878400 is 4878783.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 10483182 + ... + 10483218.

Almost surely, 2^387878400 is an apocalyptic number.

387878400 is a gapful number since it is divisible by the number (30) 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 387878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877308432).

387878400 is an abundant number, since it is smaller than the sum of its proper divisors (1366738464).

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

387878400 is a wasteful number, since it uses less digits than its factorization.

387878400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 387878400 is about 19694.6287093715. The cubic root of 387878400 is about 729.2871003613.

The spelling of 387878400 in words is "three hundred eighty-seven million, eight hundred seventy-eight thousand, four hundred".