8776045440 has 640 divisors, whose sum is σ = 33364869120. Its totient is φ = 2194698240.

The previous prime is 8776045433. The next prime is 8776045513. The reversal of 8776045440 is 445406778.

It is a tau number, because it is divible by the number of its divisors (640).

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 79 ways as a sum of consecutive naturals, for example, 69102657 + ... + 69102783.

It is an arithmetic number, because the mean of its divisors is an integer number (52132608).

Almost surely, 2^8776045440 is an apocalyptic number.

8776045440 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 8776045440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16682434560).

8776045440 is an abundant number, since it is smaller than the sum of its proper divisors (24588823680).

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

8776045440 is a wasteful number, since it uses less digits than its factorization.

8776045440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The square root of 8776045440 is about 93680.5499556872. The cubic root of 8776045440 is about 2062.6852091531.

The spelling of 8776045440 in words is "eight billion, seven hundred seventy-six million, forty-five thousand, four hundred forty".