807253020 has 288 divisors, whose sum is σ = 2998947840. Its totient is φ = 176411520.

The previous prime is 807253009. The next prime is 807253033. The reversal of 807253020 is 20352708.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 95 ways as a sum of consecutive naturals, for example, 9725899 + ... + 9725981.

Almost surely, 2^807253020 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 807253020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1499473920).

807253020 is an abundant number, since it is smaller than the sum of its proper divisors (2191694820).

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

807253020 is a wasteful number, since it uses less digits than its factorization.

807253020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 807253020 is about 28412.1984365871. The cubic root of 807253020 is about 931.1147921955.

The spelling of 807253020 in words is "eight hundred seven million, two hundred fifty-three thousand, twenty".