90730782720 has 1120 divisors, whose sum is σ = 359676313920. Its totient is φ = 21799895040.

The previous prime is 90730782713. The next prime is 90730782799. The reversal of 90730782720 is 2728703709.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2212945900 + ... + 2212945940.

It is an arithmetic number, because the mean of its divisors is an integer number (321139566).

Almost surely, 2^90730782720 is an apocalyptic number.

90730782720 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 90730782720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179838156960).

90730782720 is an abundant number, since it is smaller than the sum of its proper divisors (268945531200).

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

90730782720 is a wasteful number, since it uses less digits than its factorization.

90730782720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The spelling of 90730782720 in words is "ninety billion, seven hundred thirty million, seven hundred eighty-two thousand, seven hundred twenty".