808298640 has 120 divisors (see below), whose sum is σ = 2720685240. Its totient is φ = 215058432.

The previous prime is 808298629. The next prime is 808298671. The reversal of 808298640 is 46892808.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 147456 + 808151184 = 384^2 + 28428^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 23 ways as a sum of consecutive naturals, for example, 408694 + ... + 410666.

It is an arithmetic number, because the mean of its divisors is an integer number (22672377).

Almost surely, 2^808298640 is an apocalyptic number.

808298640 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 808298640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360342620).

808298640 is an abundant number, since it is smaller than the sum of its proper divisors (1912386600).

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

808298640 is a wasteful number, since it uses less digits than its factorization.

808298640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2561 (or 2552 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 808298640 is about 28430.5933810745. The cubic root of 808298640 is about 931.5166373702.

The spelling of 808298640 in words is "eight hundred eight million, two hundred ninety-eight thousand, six hundred forty".