82898393760 has 720 divisors, whose sum is σ = 362122016256. Its totient is φ = 17487415296.

The previous prime is 82898393749. The next prime is 82898393771. The reversal of 82898393760 is 6739389828.

It is an interprime number because it is at equal distance from previous prime (82898393749) and next prime (82898393771).

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 15328977 + ... + 15334383.

Almost surely, 2^82898393760 is an apocalyptic number.

82898393760 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 82898393760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181061008128).

82898393760 is an abundant number, since it is smaller than the sum of its proper divisors (279223622496).

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

82898393760 is a wasteful number, since it uses less digits than its factorization.

82898393760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5467 (or 5437 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 82898393760 in words is "eighty-two billion, eight hundred ninety-eight million, three hundred ninety-three thousand, seven hundred sixty".