377825280 has 288 divisors, whose sum is σ = 1411693920. Its totient is φ = 86016000.

The previous prime is 377825269. The next prime is 377825299. The reversal of 377825280 is 82528773.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1505155 + ... + 1505405.

It is an arithmetic number, because the mean of its divisors is an integer number (4901715).

Almost surely, 2^377825280 is an apocalyptic number.

377825280 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 377825280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705846960).

377825280 is an abundant number, since it is smaller than the sum of its proper divisors (1033868640).

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

377825280 is a wasteful number, since it uses less digits than its factorization.

377825280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The square root of 377825280 is about 19437.7282623253. The cubic root of 377825280 is about 722.9312599527.

The spelling of 377825280 in words is "three hundred seventy-seven million, eight hundred twenty-five thousand, two hundred eighty".