90771676380 has 480 divisors, whose sum is σ = 360350065152. Its totient is φ = 18578419200.

The previous prime is 90771676379. The next prime is 90771676423. The reversal of 90771676380 is 8367617709.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 159 ways as a sum of consecutive naturals, for example, 8352150 + ... + 8363010.

Almost surely, 2^90771676380 is an apocalyptic number.

90771676380 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 90771676380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180175032576).

90771676380 is an abundant number, since it is smaller than the sum of its proper divisors (269578388772).

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

90771676380 is a wasteful number, since it uses less digits than its factorization.

90771676380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10967 (or 10956 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The spelling of 90771676380 in words is "ninety billion, seven hundred seventy-one million, six hundred seventy-six thousand, three hundred eighty".