8251346880 has 784 divisors, whose sum is σ = 34967046144. Its totient is φ = 1813985280.

The previous prime is 8251346869. The next prime is 8251346893. The reversal of 8251346880 is 886431528.

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 111 ways as a sum of consecutive naturals, for example, 50621679 + ... + 50621841.

Almost surely, 2^8251346880 is an apocalyptic number.

8251346880 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 8251346880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17483523072).

8251346880 is an abundant number, since it is smaller than the sum of its proper divisors (26715699264).

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

8251346880 is a wasteful number, since it uses less digits than its factorization.

8251346880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 8251346880 is about 90836.9246507168. The cubic root of 8251346880 is about 2020.7299652440.

The spelling of 8251346880 in words is "eight billion, two hundred fifty-one million, three hundred forty-six thousand, eight hundred eighty".