900782604288 has 720 divisors, whose sum is σ = 3268185822720. Its totient is φ = 233103163392.

The previous prime is 900782604283. The next prime is 900782604301. The reversal of 900782604288 is 882406287009.

900782604288 is a `hidden beast` number, since 9 + 0 + 0 + 7 + 8 + 2 + 604 + 28 + 8 = 666.

It is a super-2 number, since 2×900782604288² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (900782604283) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 451066906 + ... + 451068902.

It is an arithmetic number, because the mean of its divisors is an integer number (4539146976).

Almost surely, 2^900782604288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 900782604288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1634092911360).

900782604288 is an abundant number, since it is smaller than the sum of its proper divisors (2367403218432).

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

900782604288 is a wasteful number, since it uses less digits than its factorization.

900782604288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2080 (or 2051 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 900782604288 in words is "nine hundred billion, seven hundred eighty-two million, six hundred four thousand, two hundred eighty-eight".