82800480400460 has 24 divisors (see below), whose sum is σ = 173948066801376. Its totient is φ = 33107419215360.

The previous prime is 82800480400409. The next prime is 82800480400507. The reversal of 82800480400460 is 6400408400828.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 798255896 + ... + 798359615.

It is an arithmetic number, because the mean of its divisors is an integer number (7247836116724).

Almost surely, 2^{82800480400460} is an apocalyptic number.

It is an amenable number.

82800480400460 is an abundant number, since it is smaller than the sum of its proper divisors (91147586400916).

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

82800480400460 is a wasteful number, since it uses less digits than its factorization.

82800480400460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1596618113 (or 1596618111 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 44.

The spelling of 82800480400460 in words is "eighty-two trillion, eight hundred billion, four hundred eighty million, four hundred thousand, four hundred sixty".