83077905312 has 288 divisors, whose sum is σ = 250317273024. Its totient is φ = 27097804800.

The previous prime is 83077905311. The next prime is 83077905401. The reversal of 83077905312 is 21350977038.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (83077905311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94299112 + ... + 94299992.

It is an arithmetic number, because the mean of its divisors is an integer number (869157198).

Almost surely, 2^83077905312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83077905312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125158636512).

83077905312 is an abundant number, since it is smaller than the sum of its proper divisors (167239367712).

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

83077905312 is a wasteful number, since it uses less digits than its factorization.

83077905312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 83077905312 in words is "eighty-three billion, seventy-seven million, nine hundred five thousand, three hundred twelve".