8277085440 has 864 divisors, whose sum is σ = 33748565760. Its totient is φ = 1926955008.

The previous prime is 8277085433. The next prime is 8277085451. The reversal of 8277085440 is 445807728.

It is a tau number, because it is divible by the number of its divisors (864).

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 93000916 + ... + 93001004.

It is an arithmetic number, because the mean of its divisors is an integer number (39060840).

Almost surely, 2^8277085440 is an apocalyptic number.

8277085440 is a gapful number since it is divisible by the number (80) 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 8277085440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16874282880).

8277085440 is an abundant number, since it is smaller than the sum of its proper divisors (25471480320).

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

8277085440 is a wasteful number, since it uses less digits than its factorization.

8277085440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The square root of 8277085440 is about 90978.4888861098. The cubic root of 8277085440 is about 2022.8288829310.

The spelling of 8277085440 in words is "eight billion, two hundred seventy-seven million, eighty-five thousand, four hundred forty".