807107382 has 96 divisors (see below), whose sum is σ = 1883681280. Its totient is φ = 256122000.

The previous prime is 807107341. The next prime is 807107387. The reversal of 807107382 is 283701708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (807107387) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5345007 + ... + 5345157.

It is an arithmetic number, because the mean of its divisors is an integer number (19621680).

Almost surely, 2^807107382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 807107382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (941840640).

807107382 is an abundant number, since it is smaller than the sum of its proper divisors (1076573898).

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

807107382 is a wasteful number, since it uses less digits than its factorization.

807107382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 807107382 is about 28409.6353725281. The cubic root of 807107382 is about 931.0587941178.

The spelling of 807107382 in words is "eight hundred seven million, one hundred seven thousand, three hundred eighty-two".