802262880 has 240 divisors, whose sum is σ = 2863564704. Its totient is φ = 211507200.

The previous prime is 802262843. The next prime is 802262887. The reversal of 802262880 is 88262208.

802262880 is a `hidden beast` number, since 8 + 0 + 22 + 628 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (802262887) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1334580 + ... + 1335180.

Almost surely, 2^802262880 is an apocalyptic number.

802262880 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 802262880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1431782352).

802262880 is an abundant number, since it is smaller than the sum of its proper divisors (2061301824).

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

802262880 is a wasteful number, since it uses less digits than its factorization.

802262880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 802262880 is about 28324.2454444951. The cubic root of 802262880 is about 929.1922226231.

The spelling of 802262880 in words is "eight hundred two million, two hundred sixty-two thousand, eight hundred eighty".