85779400 has 72 divisors (see below), whose sum is σ = 232024770. Its totient is φ = 29406720.

The previous prime is 85779389. The next prime is 85779409. The reversal of 85779400 is 497758.

It can be written as a sum of positive squares in 3 ways, for example, as 77053284 + 8726116 = 8778^2 + 2954^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85779409) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 5424 + ... + 14176.

Almost surely, 2^85779400 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 85779400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116012385).

85779400 is an abundant number, since it is smaller than the sum of its proper divisors (146245370).

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

85779400 is a wasteful number, since it uses less digits than its factorization.

85779400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8783 (or 8767 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 40.

The square root of 85779400 is about 9261.7169034688. The cubic root of 85779400 is about 441.0227585467.

The spelling of 85779400 in words is "eighty-five million, seven hundred seventy-nine thousand, four hundred".