82276777574400 has 720 divisors, whose sum is σ = 282785685807744. Its totient is φ = 21089322270720.

The previous prime is 82276777574389. The next prime is 82276777574419. The reversal of 82276777574400 is 447577767228.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3773633899 + ... + 3773655701.

Almost surely, 2^{82276777574400} is an apocalyptic number.

82276777574400 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 82276777574400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141392842903872).

82276777574400 is an abundant number, since it is smaller than the sum of its proper divisors (200508908233344).

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

82276777574400 is a wasteful number, since it uses less digits than its factorization.

82276777574400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21964 (or 21933 counting only the distinct ones).

The product of its (nonzero) digits is 258155520, while the sum is 66.

The spelling of 82276777574400 in words is "eighty-two trillion, two hundred seventy-six billion, seven hundred seventy-seven million, five hundred seventy-four thousand, four hundred".