83780136 has 128 divisors (see below), whose sum is σ = 261014400. Its totient is φ = 24675840.

The previous prime is 83780119. The next prime is 83780149. The reversal of 83780136 is 63108738.

It is a super-2 number, since 2×83780136² = 14038222376356992, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 83780136.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87436 + ... + 88388.

It is an arithmetic number, because the mean of its divisors is an integer number (2039175).

Almost surely, 2^83780136 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 83780136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130507200).

83780136 is an abundant number, since it is smaller than the sum of its proper divisors (177234264).

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

83780136 is a wasteful number, since it uses less digits than its factorization.

83780136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 83780136 is about 9153.1489663394. The cubic root of 83780136 is about 437.5694775102.

The spelling of 83780136 in words is "eighty-three million, seven hundred eighty thousand, one hundred thirty-six".