80370 has 48 divisors (see below), whose sum is σ = 224640. Its totient is φ = 19872.

The previous prime is 80369. The next prime is 80387. The reversal of 80370 is 7308.

80370 = 41² + 42² + ... + 67².

It is a Harshad number since it is a multiple of its sum of digits (18).

80370 is a modest number, since divided by 370 gives 80 as remainder.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 80370.

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, 1687 + ... + 1733.

It is an arithmetic number, because the mean of its divisors is an integer number (4680).

2⁸⁰³⁷⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112320).

80370 is an abundant number, since it is smaller than the sum of its proper divisors (144270).

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

80370 is a wasteful number, since it uses less digits than its factorization.

80370 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 80370 is about 283.4960317183. The cubic root of 80370 is about 43.1550200555.

80370 divided by its sum of digits (18) gives a triangular number (4465 = T₉₄).

Adding to 80370 its reverse (7308), we get a palindrome (87678).

The spelling of 80370 in words is "eighty thousand, three hundred seventy".