807394368 has 112 divisors (see below), whose sum is σ = 2374733376. Its totient is φ = 240015360.

The previous prime is 807394361. The next prime is 807394387. The reversal of 807394368 is 863493708.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (807394361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108330 + ... + 115542.

Almost surely, 2^807394368 is an apocalyptic number.

807394368 is a gapful number since it is divisible by the number (88) 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 807394368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1187366688).

807394368 is an abundant number, since it is smaller than the sum of its proper divisors (1567339008).

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

807394368 is a wasteful number, since it uses less digits than its factorization.

807394368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7292 (or 7282 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The square root of 807394368 is about 28414.6857804200. The cubic root of 807394368 is about 931.1691343202.

The spelling of 807394368 in words is "eight hundred seven million, three hundred ninety-four thousand, three hundred sixty-eight".