807919938 has 144 divisors (see below), whose sum is σ = 2203081920. Its totient is φ = 212611392.

The previous prime is 807919933. The next prime is 807919939. The reversal of 807919938 is 839919708.

It is a super-3 number, since 3×807919938³ (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (807919933) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 619395 + ... + 620697.

It is an arithmetic number, because the mean of its divisors is an integer number (15299180).

Almost surely, 2^807919938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 807919938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1101540960).

807919938 is an abundant number, since it is smaller than the sum of its proper divisors (1395161982).

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

807919938 is a wasteful number, since it uses less digits than its factorization.

807919938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1381 (or 1371 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 54.

The square root of 807919938 is about 28423.9324865508. The cubic root of 807919938 is about 931.3711373850.

The spelling of 807919938 in words is "eight hundred seven million, nine hundred nineteen thousand, nine hundred thirty-eight".