83759040 has 168 divisors, whose sum is σ = 291632640. Its totient is φ = 22063104.

The previous prime is 83759033. The next prime is 83759041. The reversal of 83759040 is 4095738.

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

It is a junction number, because it is equal to n+sod(n) for n = 83758986 and 83759004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83759041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 365646 + ... + 365874.

Almost surely, 2^83759040 is an apocalyptic number.

83759040 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 83759040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145816320).

83759040 is an abundant number, since it is smaller than the sum of its proper divisors (207873600).

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

83759040 is a wasteful number, since it uses less digits than its factorization.

83759040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 83759040 is about 9151.9965034958. The cubic root of 83759040 is about 437.5327474807.

The spelling of 83759040 in words is "eighty-three million, seven hundred fifty-nine thousand, forty".