807438060 has 432 divisors, whose sum is σ = 3069480960. Its totient is φ = 169827840.

The previous prime is 807438043. The next prime is 807438089. The reversal of 807438060 is 60834708.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6357717 + ... + 6357843.

It is an arithmetic number, because the mean of its divisors is an integer number (7105280).

Almost surely, 2^807438060 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 807438060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1534740480).

807438060 is an abundant number, since it is smaller than the sum of its proper divisors (2262042900).

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

807438060 is a wasteful number, since it uses less digits than its factorization.

807438060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 807438060 is about 28415.4545978065. The cubic root of 807438060 is about 931.1859307002.

The spelling of 807438060 in words is "eight hundred seven million, four hundred thirty-eight thousand, sixty".