90776322000 has 1920 divisors, whose sum is σ = 424794240000. Its totient is φ = 18492364800.

The previous prime is 90776321969. The next prime is 90776322001. The reversal of 90776322000 is 22367709.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90776322001) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3130217986 + ... + 3130218014.

It is an arithmetic number, because the mean of its divisors is an integer number (221247000).

Almost surely, 2^90776322000 is an apocalyptic number.

90776322000 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 90776322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212397120000).

90776322000 is an abundant number, since it is smaller than the sum of its proper divisors (334017918000).

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

90776322000 is a wasteful number, since it uses less digits than its factorization.

90776322000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

Adding to 90776322000 its reverse (22367709), we get a palindrome (90798689709).

The spelling of 90776322000 in words is "ninety billion, seven hundred seventy-six million, three hundred twenty-two thousand".