82455676800 has 576 divisors, whose sum is σ = 321679113600. Its totient is φ = 18184642560.

The previous prime is 82455676789. The next prime is 82455676817. The reversal of 82455676800 is 867655428.

It is a happy number.

It is a super-3 number, since 3×82455676800³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 56514471 + ... + 56515929.

Almost surely, 2^82455676800 is an apocalyptic number.

82455676800 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 82455676800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160839556800).

82455676800 is an abundant number, since it is smaller than the sum of its proper divisors (239223436800).

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

82455676800 is a wasteful number, since it uses less digits than its factorization.

82455676800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1551 (or 1505 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 51.

The spelling of 82455676800 in words is "eighty-two billion, four hundred fifty-five million, six hundred seventy-six thousand, eight hundred".