82727930880 has 1584 divisors, whose sum is σ = 366950787840. Its totient is φ = 17780539392.

The previous prime is 82727930869. The next prime is 82727930927. The reversal of 82727930880 is 8803972728.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1402168291 + ... + 1402168349.

Almost surely, 2^82727930880 is an apocalyptic number.

82727930880 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 82727930880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183475393920).

82727930880 is an abundant number, since it is smaller than the sum of its proper divisors (284222856960).

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

82727930880 is a wasteful number, since it uses less digits than its factorization.

82727930880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 82727930880 in words is "eighty-two billion, seven hundred twenty-seven million, nine hundred thirty thousand, eight hundred eighty".