377880 has 64 divisors (see below), whose sum is σ = 1175040. Its totient is φ = 97152.

The previous prime is 377873. The next prime is 377887. The reversal of 377880 is 88773.

It is an interprime number because it is at equal distance from previous prime (377873) and next prime (377887).

It is an Ulam number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 377880.

It is not an unprimeable number, because it can be changed into a prime (377887) by changing a digit.

377880 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5607 + ... + 5673.

It is an arithmetic number, because the mean of its divisors is an integer number (18360).

2³⁷⁷⁸⁸⁰ is an apocalyptic number.

377880 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 377880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587520).

377880 is an abundant number, since it is smaller than the sum of its proper divisors (797160).

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

377880 is a wasteful number, since it uses less digits than its factorization.

377880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 377880 is about 614.7194482038. The cubic root of 377880 is about 72.2966158702.

The spelling of 377880 in words is "three hundred seventy-seven thousand, eight hundred eighty".