807660672 has 256 divisors, whose sum is σ = 2734905600. Its totient is φ = 205406208.

The previous prime is 807660661. The next prime is 807660739. The reversal of 807660672 is 276066708.

It is a super-2 number, since 2×807660672² = 1304631522190983168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 31 ways as a sum of consecutive naturals, for example, 1012978 + ... + 1013774.

It is an arithmetic number, because the mean of its divisors is an integer number (10683225).

Almost surely, 2^807660672 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 807660672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1367452800).

807660672 is an abundant number, since it is smaller than the sum of its proper divisors (1927244928).

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

807660672 is a wasteful number, since it uses less digits than its factorization.

807660672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The square root of 807660672 is about 28419.3714216201. The cubic root of 807660672 is about 931.2714993340.

The spelling of 807660672 in words is "eight hundred seven million, six hundred sixty thousand, six hundred seventy-two".