378470880 has 480 divisors, whose sum is σ = 1481911200. Its totient is φ = 90574848.

The previous prime is 378470863. The next prime is 378470903. The reversal of 378470880 is 88074873.

It is a tau number, because it is divible by the number of its divisors (480).

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 79 ways as a sum of consecutive naturals, for example, 7140934 + ... + 7140986.

It is an arithmetic number, because the mean of its divisors is an integer number (3087315).

Almost surely, 2^378470880 is an apocalyptic number.

378470880 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 378470880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740955600).

378470880 is an abundant number, since it is smaller than the sum of its proper divisors (1103440320).

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

378470880 is a wasteful number, since it uses less digits than its factorization.

378470880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 111 counting only the distinct ones).

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

The square root of 378470880 is about 19454.3280531608. The cubic root of 378470880 is about 723.3427895347.

The spelling of 378470880 in words is "three hundred seventy-eight million, four hundred seventy thousand, eight hundred eighty".