83041780320 has 288 divisors, whose sum is σ = 287688360960. Its totient is φ = 21810447360.

The previous prime is 83041780267. The next prime is 83041780333. The reversal of 83041780320 is 2308714038.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26219377 + ... + 26222543.

It is an arithmetic number, because the mean of its divisors is an integer number (998917920).

Almost surely, 2^83041780320 is an apocalyptic number.

83041780320 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 83041780320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143844180480).

83041780320 is an abundant number, since it is smaller than the sum of its proper divisors (204646580640).

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

83041780320 is a wasteful number, since it uses less digits than its factorization.

83041780320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3458 (or 3447 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 83041780320 in words is "eighty-three billion, forty-one million, seven hundred eighty thousand, three hundred twenty".