82256000904 has 960 divisors, whose sum is σ = 308914974720. Its totient is φ = 20194272000.

The previous prime is 82256000899. The next prime is 82256000917. The reversal of 82256000904 is 40900065228.

It is a happy number.

82256000904 is a `hidden beast` number, since 8 + 2 + 2 + 560 + 0 + 0 + 90 + 4 = 666.

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 239 ways as a sum of consecutive naturals, for example, 768747619 + ... + 768747725.

It is an arithmetic number, because the mean of its divisors is an integer number (321786432).

Almost surely, 2^82256000904 is an apocalyptic number.

82256000904 is a gapful number since it is divisible by the number (84) 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 82256000904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154457487360).

82256000904 is an abundant number, since it is smaller than the sum of its proper divisors (226658973816).

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

82256000904 is a wasteful number, since it uses less digits than its factorization.

82256000904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 82256000904 in words is "eighty-two billion, two hundred fifty-six million, nine hundred four", and thus it is an aban number.