807826960 has 40 divisors (see below), whose sum is σ = 1889086680. Its totient is φ = 321257472.

The previous prime is 807826951. The next prime is 807826963. The reversal of 807826960 is 69628708.

It can be written as a sum of positive squares in 4 ways, for example, as 243859456 + 563967504 = 15616^2 + 23748^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 807826960.

It is not an unprimeable number, because it can be changed into a prime (807826963) 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 7 ways as a sum of consecutive naturals, for example, 15345 + ... + 43024.

It is an arithmetic number, because the mean of its divisors is an integer number (47227167).

Almost surely, 2^807826960 is an apocalyptic number.

807826960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

807826960 is an abundant number, since it is smaller than the sum of its proper divisors (1081259720).

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

807826960 is a wasteful number, since it uses less digits than its factorization.

807826960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58555 (or 58549 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 46.

The square root of 807826960 is about 28422.2968811460. The cubic root of 807826960 is about 931.3354076285.

The spelling of 807826960 in words is "eight hundred seven million, eight hundred twenty-six thousand, nine hundred sixty".