80829239040 has 1080 divisors, whose sum is σ = 337493383920. Its totient is φ = 18393661440.

The previous prime is 80829239011. The next prime is 80829239041. The reversal of 80829239040 is 4093292808.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80829239041) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 213269571 + ... + 213269949.

It is an arithmetic number, because the mean of its divisors is an integer number (312493874).

Almost surely, 2^80829239040 is an apocalyptic number.

80829239040 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 80829239040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168746691960).

80829239040 is an abundant number, since it is smaller than the sum of its proper divisors (256664144880).

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

80829239040 is a wasteful number, since it uses less digits than its factorization.

80829239040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 80829239040 in words is "eighty billion, eight hundred twenty-nine million, two hundred thirty-nine thousand, forty".