8276256000 has 720 divisors, whose sum is σ = 32100676608. Its totient is φ = 2115072000.

The previous prime is 8276255989. The next prime is 8276256061. The reversal of 8276256000 is 6526728.

8276256000 is a `hidden beast` number, since 8 + 27 + 6 + 25 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 80351949 + ... + 80352051.

Almost surely, 2^8276256000 is an apocalyptic number.

8276256000 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 8276256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16050338304).

8276256000 is an abundant number, since it is smaller than the sum of its proper divisors (23824420608).

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

8276256000 is a wasteful number, since it uses less digits than its factorization.

8276256000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 8276256000 is about 90973.9303317165. The cubic root of 8276256000 is about 2022.7613119948.

The spelling of 8276256000 in words is "eight billion, two hundred seventy-six million, two hundred fifty-six thousand".