83077073280000 has 3080 divisors, whose sum is σ = 329375413016496. Its totient is φ = 20901888000000.

The previous prime is 83077073279939. The next prime is 83077073280013. The reversal of 83077073280000 is 8237077038.

83077073280000 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 279 ways as a sum of consecutive naturals, for example, 822545279950 + ... + 822545280050.

Almost surely, 2^{83077073280000} is an apocalyptic number.

83077073280000 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 83077073280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164687706508248).

83077073280000 is an abundant number, since it is smaller than the sum of its proper divisors (246298339736496).

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

83077073280000 is an equidigital number, since it uses as much as digits as its factorization.

83077073280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 83077073280000 in words is "eighty-three trillion, seventy-seven billion, seventy-three million, two hundred eighty thousand".