807516864 has 630 divisors, whose sum is σ = 3226885596. Its totient is φ = 197406720.

The previous prime is 807516863. The next prime is 807516869. The reversal of 807516864 is 468615708.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (807516863) by changing a digit.

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 89 ways as a sum of consecutive naturals, for example, 47500984 + ... + 47501000.

Almost surely, 2^807516864 is an apocalyptic number.

807516864 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 807516864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1613442798).

807516864 is an abundant number, since it is smaller than the sum of its proper divisors (2419368732).

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

807516864 is a wasteful number, since it uses less digits than its factorization.

807516864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 807516864 is about 28416.8412037651. The cubic root of 807516864 is about 931.2162235456.

The spelling of 807516864 in words is "eight hundred seven million, five hundred sixteen thousand, eight hundred sixty-four".