807380 has 48 divisors (see below), whose sum is σ = 1989120. Its totient is φ = 269568.

The previous prime is 807379. The next prime is 807383. The reversal of 807380 is 83708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (807383) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10181 + ... + 10259.

It is an arithmetic number, because the mean of its divisors is an integer number (41440).

2⁸⁰⁷³⁸⁰ 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 807380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (994560).

807380 is an abundant number, since it is smaller than the sum of its proper divisors (1181740).

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

807380 is a wasteful number, since it uses less digits than its factorization.

807380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 166 counting only the distinct ones).

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

The square root of 807380 is about 898.5432655137. The cubic root of 807380 is about 93.1163610742.

The spelling of 807380 in words is "eight hundred seven thousand, three hundred eighty".