900826375680 has 2400 divisors, whose sum is σ = 4248280092672. Its totient is φ = 178243338240.

The previous prime is 900826375679. The next prime is 900826375681. The reversal of 900826375680 is 86573628009.

It is a happy number.

900826375680 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (900826375679) and next prime (900826375681).

It is a super-2 number, since 2×900826375680² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (900826375681) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4039580049 + ... + 4039580271.

Almost surely, 2^900826375680 is an apocalyptic number.

900826375680 is a gapful number since it is divisible by the number (90) 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 900826375680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2124140046336).

900826375680 is an abundant number, since it is smaller than the sum of its proper divisors (3347453716992).

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

900826375680 is a wasteful number, since it uses less digits than its factorization.

900826375680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 900826375680 in words is "nine hundred billion, eight hundred twenty-six million, three hundred seventy-five thousand, six hundred eighty".