83379393377280 has 7920 divisors, whose sum is σ = 439646247976320. Its totient is φ = 14662375833600.

The previous prime is 83379393377279. The next prime is 83379393377317. The reversal of 83379393377280 is 8277339397338.

83379393377280 is a `hidden beast` number, since 8 + 3 + 3 + 7 + 9 + 3 + 9 + 337 + 7 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (7920).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 83379393377199 and 83379393377208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 2689657850865 + ... + 2689657850895.

It is an arithmetic number, because the mean of its divisors is an integer number (55510889896).

Almost surely, 2^{83379393377280} is an apocalyptic number.

83379393377280 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 83379393377280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219823123988160).

83379393377280 is an abundant number, since it is smaller than the sum of its proper divisors (356266854599040).

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

83379393377280 is a wasteful number, since it uses less digits than its factorization.

83379393377280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 864162432, while the sum is 72.

The spelling of 83379393377280 in words is "eighty-three trillion, three hundred seventy-nine billion, three hundred ninety-three million, three hundred seventy-seven thousand, two hundred eighty".