83678760 has 288 divisors, whose sum is σ = 319311720. Its totient is φ = 18923520.

The previous prime is 83678759. The next prime is 83678767. The reversal of 83678760 is 6787638.

It can be written as a sum of positive squares in 4 ways, for example, as 53670276 + 30008484 = 7326^2 + 5478^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (83678767) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 740464 + ... + 740576.

Almost surely, 2^83678760 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 83678760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159655860).

83678760 is an abundant number, since it is smaller than the sum of its proper divisors (235632960).

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

83678760 is a wasteful number, since it uses less digits than its factorization.

83678760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 83678760 is about 9147.6095238046. The cubic root of 83678760 is about 437.3929163771.

The spelling of 83678760 in words is "eighty-three million, six hundred seventy-eight thousand, seven hundred sixty".