90902795760 has 960 divisors, whose sum is σ = 383442958080. Its totient is φ = 18827182080.

The previous prime is 90902795759. The next prime is 90902795761. The reversal of 90902795760 is 6759720909.

It is an interprime number because it is at equal distance from previous prime (90902795759) and next prime (90902795761).

It is a junction number, because it is equal to n+sod(n) for n = 90902795697 and 90902795706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90902795761) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 396955326 + ... + 396955554.

It is an arithmetic number, because the mean of its divisors is an integer number (399419748).

Almost surely, 2^90902795760 is an apocalyptic number.

90902795760 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 90902795760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191721479040).

90902795760 is an abundant number, since it is smaller than the sum of its proper divisors (292540162320).

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

90902795760 is a wasteful number, since it uses less digits than its factorization.

90902795760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 2143260, while the sum is 54.

The spelling of 90902795760 in words is "ninety billion, nine hundred two million, seven hundred ninety-five thousand, seven hundred sixty".