83805276240 has 720 divisors, whose sum is σ = 343400645952. Its totient is φ = 18937110528.

The previous prime is 83805276239. The next prime is 83805276241. The reversal of 83805276240 is 4267250838.

83805276240 is a `hidden beast` number, since 8 + 3 + 80 + 527 + 6 + 2 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (83805276239) and next prime (83805276241).

It is a tau number, because it is divible by the number of its divisors (720).

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 (83805276241) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 92397867 + ... + 92398773.

Almost surely, 2^83805276240 is an apocalyptic number.

83805276240 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 83805276240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171700322976).

83805276240 is an abundant number, since it is smaller than the sum of its proper divisors (259595369712).

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

83805276240 is a wasteful number, since it uses less digits than its factorization.

83805276240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1046 (or 1021 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 83805276240 in words is "eighty-three billion, eight hundred five million, two hundred seventy-six thousand, two hundred forty".