82763327162880 has 5760 divisors, whose sum is σ = 401304474869760. Its totient is φ = 16012518359040.

The previous prime is 82763327162827. The next prime is 82763327162897. The reversal of 82763327162880 is 8826172336728.

82763327162880 is a `hidden beast` number, since 8 + 2 + 7 + 6 + 332 + 7 + 16 + 288 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 651679741377 + ... + 651679741503.

It is an arithmetic number, because the mean of its divisors is an integer number (69670915776).

Almost surely, 2^{82763327162880} is an apocalyptic number.

82763327162880 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 82763327162880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200652237434880).

82763327162880 is an abundant number, since it is smaller than the sum of its proper divisors (318541147706880).

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

82763327162880 is a wasteful number, since it uses less digits than its factorization.

82763327162880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 82763327162880 in words is "eighty-two trillion, seven hundred sixty-three billion, three hundred twenty-seven million, one hundred sixty-two thousand, eight hundred eighty".