11765000 has 80 divisors (see below), whose sum is σ = 29849820. Its totient is φ = 4320000.

The previous prime is 11764967. The next prime is 11765023. The reversal of 11765000 is 56711.

11765000 is nontrivially palindromic in base 7.

It can be written as a sum of positive squares in 10 ways, for example, as 6280036 + 5484964 = 2506^2 + 2342^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 64910 + ... + 65090.

Almost surely, 2^11765000 is an apocalyptic number.

11765000 is a gapful number since it is divisible by the number (10) 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 11765000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14924910).

11765000 is an abundant number, since it is smaller than the sum of its proper divisors (18084820).

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

11765000 is a wasteful number, since it uses less digits than its factorization.

11765000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 20.

The square root of 11765000 is about 3430.0145772285. The cubic root of 11765000 is about 227.4384972418.

The spelling of 11765000 in words is "eleven million, seven hundred sixty-five thousand".