807868399590 has 192 divisors, whose sum is σ = 2478190156416. Its totient is φ = 178733039616.

The previous prime is 807868399589. The next prime is 807868399619. The reversal of 807868399590 is 95993868708.

807868399590 is a `hidden beast` number, since 80 + 78 + 6 + 8 + 399 + 5 + 90 = 666.

It is a super-2 number, since 2×807868399590² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (72) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4409044 + ... + 4588616.

It is an arithmetic number, because the mean of its divisors is an integer number (12907240398).

Almost surely, 2^807868399590 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 807868399590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1239095078208).

807868399590 is an abundant number, since it is smaller than the sum of its proper divisors (1670321756826).

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

807868399590 is a wasteful number, since it uses less digits than its factorization.

807868399590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179823 (or 179820 counting only the distinct ones).

The product of its (nonzero) digits is 235146240, while the sum is 72.

The spelling of 807868399590 in words is "eight hundred seven billion, eight hundred sixty-eight million, three hundred ninety-nine thousand, five hundred ninety".