82338793920 has 280 divisors, whose sum is σ = 295211625984. Its totient is φ = 21783250944.

The previous prime is 82338793879. The next prime is 82338793967. The reversal of 82338793920 is 2939783328.

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 39 ways as a sum of consecutive naturals, for example, 3279334 + ... + 3304346.

Almost surely, 2^82338793920 is an apocalyptic number.

82338793920 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 82338793920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147605812992).

82338793920 is an abundant number, since it is smaller than the sum of its proper divisors (212872832064).

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

82338793920 is a wasteful number, since it uses less digits than its factorization.

82338793920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25169 (or 25150 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 82338793920 in words is "eighty-two billion, three hundred thirty-eight million, seven hundred ninety-three thousand, nine hundred twenty".