83763720 has 160 divisors (see below), whose sum is σ = 285405120. Its totient is φ = 22032000.

The previous prime is 83763689. The next prime is 83763721. The reversal of 83763720 is 2736738.

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

It is not an unprimeable number, because it can be changed into a prime (83763721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 333595 + ... + 333845.

It is an arithmetic number, because the mean of its divisors is an integer number (1783782).

Almost surely, 2^83763720 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 83763720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142702560).

83763720 is an abundant number, since it is smaller than the sum of its proper divisors (201641400).

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

83763720 is a wasteful number, since it uses less digits than its factorization.

83763720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 83763720 is about 9152.2521818403. The cubic root of 83763720 is about 437.5408963131.

The spelling of 83763720 in words is "eighty-three million, seven hundred sixty-three thousand, seven hundred twenty".