8261000880 has 320 divisors, whose sum is σ = 29623104000. Its totient is φ = 1883381760.

The previous prime is 8261000863. The next prime is 8261000911. The reversal of 8261000880 is 880001628.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 7874596 + ... + 7875644.

It is an arithmetic number, because the mean of its divisors is an integer number (92572200).

Almost surely, 2^8261000880 is an apocalyptic number.

8261000880 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 8261000880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14811552000).

8261000880 is an abundant number, since it is smaller than the sum of its proper divisors (21362103120).

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

8261000880 is a wasteful number, since it uses less digits than its factorization.

8261000880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1252 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 8261000880 is about 90890.0483001302. The cubic root of 8261000880 is about 2021.5177365901.

The spelling of 8261000880 in words is "eight billion, two hundred sixty-one million, eight hundred eighty", and thus it is an aban number.