85779000 has 192 divisors, whose sum is σ = 301523040. Its totient is φ = 22809600.

The previous prime is 85778971. The next prime is 85779007. The reversal of 85779000 is 97758.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85779007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 242824 + ... + 243176.

Almost surely, 2^85779000 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 85779000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150761520).

85779000 is an abundant number, since it is smaller than the sum of its proper divisors (215744040).

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

85779000 is a wasteful number, since it uses less digits than its factorization.

85779000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The square root of 85779000 is about 9261.6953091753. The cubic root of 85779000 is about 441.0220730310.

The spelling of 85779000 in words is "eighty-five million, seven hundred seventy-nine thousand".