807816672 has 384 divisors, whose sum is σ = 2743372800. Its totient is φ = 229312512.

The previous prime is 807816641. The next prime is 807816677. The reversal of 807816672 is 276618708.

It is a super-2 number, since 2×807816672² = 1305135551122311168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (807816677) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13691779 + ... + 13691837.

It is an arithmetic number, because the mean of its divisors is an integer number (7144200).

Almost surely, 2^807816672 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 807816672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1371686400).

807816672 is an abundant number, since it is smaller than the sum of its proper divisors (1935556128).

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

807816672 is a wasteful number, since it uses less digits than its factorization.

807816672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 807816672 is about 28422.1158959005. The cubic root of 807816672 is about 931.3314539686.

The spelling of 807816672 in words is "eight hundred seven million, eight hundred sixteen thousand, six hundred seventy-two".