8705249280 has 832 divisors, whose sum is σ = 38310289920. Its totient is φ = 1826095104.

The previous prime is 8705249269. The next prime is 8705249297. The reversal of 8705249280 is 829425078.

8705249280 is a `hidden beast` number, since 87 + 0 + 5 + 2 + 492 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (832).

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 63 ways as a sum of consecutive naturals, for example, 50319274 + ... + 50319446.

Almost surely, 2^8705249280 is an apocalyptic number.

8705249280 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 8705249280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19155144960).

8705249280 is an abundant number, since it is smaller than the sum of its proper divisors (29605040640).

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

8705249280 is a wasteful number, since it uses less digits than its factorization.

8705249280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 8705249280 is about 93301.9253820627. The cubic root of 8705249280 is about 2057.1236823610.

The spelling of 8705249280 in words is "eight billion, seven hundred five million, two hundred forty-nine thousand, two hundred eighty".