807221952 has 84 divisors (see below), whose sum is σ = 2353071240. Its totient is φ = 264502272.

The previous prime is 807221951. The next prime is 807221969. The reversal of 807221952 is 259122708.

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

It is not an unprimeable number, because it can be changed into a prime (807221951) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22108 + ... + 45860.

Almost surely, 2^807221952 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 807221952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1176535620).

807221952 is an abundant number, since it is smaller than the sum of its proper divisors (1545849288).

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

807221952 is a wasteful number, since it uses less digits than its factorization.

807221952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23830 (or 23817 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 807221952 is about 28411.6516943313. The cubic root of 807221952 is about 931.1028470578.

The spelling of 807221952 in words is "eight hundred seven million, two hundred twenty-one thousand, nine hundred fifty-two".