802650240 has 384 divisors, whose sum is σ = 3356795520. Its totient is φ = 172523520.

The previous prime is 802650229. The next prime is 802650293. The reversal of 802650240 is 42056208.

802650240 is a `hidden beast` number, since 8 + 0 + 2 + 650 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 684855 + ... + 686025.

It is an arithmetic number, because the mean of its divisors is an integer number (8741655).

Almost surely, 2^802650240 is an apocalyptic number.

802650240 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 802650240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1678397760).

802650240 is an abundant number, since it is smaller than the sum of its proper divisors (2554145280).

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

802650240 is a wasteful number, since it uses less digits than its factorization.

802650240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1220 (or 1205 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 802650240 is about 28331.0825772684. The cubic root of 802650240 is about 929.3417471720.

The spelling of 802650240 in words is "eight hundred two million, six hundred fifty thousand, two hundred forty".