807238080 has 336 divisors, whose sum is σ = 3075456384. Its totient is φ = 192706560.

The previous prime is 807238079. The next prime is 807238093. The reversal of 807238080 is 80832708.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2629287 + ... + 2629593.

It is an arithmetic number, because the mean of its divisors is an integer number (9153144).

Almost surely, 2^807238080 is an apocalyptic number.

807238080 is a gapful number since it is divisible by the number (80) 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 807238080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1537728192).

807238080 is an abundant number, since it is smaller than the sum of its proper divisors (2268218304).

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

807238080 is a wasteful number, since it uses less digits than its factorization.

807238080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 807238080 is about 28411.9355201296. The cubic root of 807238080 is about 931.1090480482.

The spelling of 807238080 in words is "eight hundred seven million, two hundred thirty-eight thousand, eighty".