90834076080 has 640 divisors, whose sum is σ = 355198694400. Its totient is φ = 21134131200.

The previous prime is 90834076063. The next prime is 90834076103. The reversal of 90834076080 is 8067043809.

It is a happy number.

90834076080 is a `hidden beast` number, since 9 + 0 + 8 + 34 + 0 + 7 + 608 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 166058367 + ... + 166058913.

It is an arithmetic number, because the mean of its divisors is an integer number (554997960).

Almost surely, 2^90834076080 is an apocalyptic number.

90834076080 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 90834076080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177599347200).

90834076080 is an abundant number, since it is smaller than the sum of its proper divisors (264364618320).

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

90834076080 is a wasteful number, since it uses less digits than its factorization.

90834076080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 90834076080 in words is "ninety billion, eight hundred thirty-four million, seventy-six thousand, eighty".