807197472 has 72 divisors (see below), whose sum is σ = 2305766736. Its totient is φ = 267858816.

The previous prime is 807197459. The next prime is 807197477. The reversal of 807197472 is 274791708.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (807197477) 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, 59203 + ... + 71549.

It is an arithmetic number, because the mean of its divisors is an integer number (32024538).

Almost surely, 2^807197472 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 807197472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1152883368).

807197472 is an abundant number, since it is smaller than the sum of its proper divisors (1498569264).

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

807197472 is a wasteful number, since it uses less digits than its factorization.

807197472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12590 (or 12579 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

The square root of 807197472 is about 28411.2208818981. The cubic root of 807197472 is about 931.0934346824.

The spelling of 807197472 in words is "eight hundred seven million, one hundred ninety-seven thousand, four hundred seventy-two".