370880 has 56 divisors (see below), whose sum is σ = 944880. Its totient is φ = 138240.

The previous prime is 370879. The next prime is 370883. The reversal of 370880 is 88073.

It is a Cunningham number, because it is equal to 609²-1.

It is a nialpdrome in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 370880.

It is not an unprimeable number, because it can be changed into a prime (370883) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 6050 + ... + 6110.

2³⁷⁰⁸⁸⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 370880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472440).

370880 is an abundant number, since it is smaller than the sum of its proper divisors (574000).

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

370880 is a wasteful number, since it uses less digits than its factorization.

370880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 370880 is about 608.9991789814. Note that the first 3 decimals coincide. The cubic root of 370880 is about 71.8474134839.

The spelling of 370880 in words is "three hundred seventy thousand, eight hundred eighty".