807660000 has 360 divisors, whose sum is σ = 3285185904. Its totient is φ = 184320000.

The previous prime is 807659981. The next prime is 807660001. The reversal of 807660000 is 66708.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (807660001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1259680 + ... + 1260320.

Almost surely, 2^807660000 is an apocalyptic number.

807660000 is a gapful number since it is divisible by the number (80) 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 807660000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1642592952).

807660000 is an abundant number, since it is smaller than the sum of its proper divisors (2477525904).

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

807660000 is a wasteful number, since it uses less digits than its factorization.

807660000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 807660000 is about 28419.3595986961. The cubic root of 807660000 is about 931.2712410512.

The spelling of 807660000 in words is "eight hundred seven million, six hundred sixty thousand".