90000762720 has 384 divisors, whose sum is σ = 323895656448. Its totient is φ = 20793907200.

The previous prime is 90000762707. The next prime is 90000762793. The reversal of 90000762720 is 2726700009.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37766649 + ... + 37769031.

It is an arithmetic number, because the mean of its divisors is an integer number (843478272).

Almost surely, 2^90000762720 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 90000762720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161947828224).

90000762720 is an abundant number, since it is smaller than the sum of its proper divisors (233894893728).

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

90000762720 is a wasteful number, since it uses less digits than its factorization.

90000762720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2746 (or 2738 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The spelling of 90000762720 in words is "ninety billion, seven hundred sixty-two thousand, seven hundred twenty".