82627776000 has 2240 divisors, whose sum is σ = 401885991936. Its totient is φ = 16422912000.

The previous prime is 82627775941. The next prime is 82627776013. The reversal of 82627776000 is 67772628.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (2240).

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 223 ways as a sum of consecutive naturals, for example, 3592511989 + ... + 3592512011.

Almost surely, 2^82627776000 is an apocalyptic number.

82627776000 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 82627776000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200942995968).

82627776000 is an abundant number, since it is smaller than the sum of its proper divisors (319258215936).

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

82627776000 is an equidigital number, since it uses as much as digits as its factorization.

82627776000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 82627776000 in words is "eighty-two billion, six hundred twenty-seven million, seven hundred seventy-six thousand".