82349758080 has 320 divisors, whose sum is σ = 297644608800. Its totient is φ = 21694224384.

The previous prime is 82349758063. The next prime is 82349758087. The reversal of 82349758080 is 8085794328.

It is a happy number.

82349758080 is a `hidden beast` number, since 8 + 23 + 497 + 58 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is not an unprimeable number, because it can be changed into a prime (82349758087) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4293151 + ... + 4312289.

Almost surely, 2^82349758080 is an apocalyptic number.

82349758080 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 82349758080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148822304400).

82349758080 is an abundant number, since it is smaller than the sum of its proper divisors (215294850720).

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

82349758080 is a wasteful number, since it uses less digits than its factorization.

82349758080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19253 (or 19232 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 82349758080 in words is "eighty-two billion, three hundred forty-nine million, seven hundred fifty-eight thousand, eighty".