20765000 has 40 divisors (see below), whose sum is σ = 48664110. Its totient is φ = 8304000.

The previous prime is 20764999. The next prime is 20765027. The reversal of 20765000 is 56702.

It can be written as a sum of positive squares in 5 ways, for example, as 1069156 + 19695844 = 1034^2 + 4438^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

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 9 ways as a sum of consecutive naturals, for example, 2924 + ... + 7076.

Almost surely, 2^20765000 is an apocalyptic number.

20765000 is a gapful number since it is divisible by the number (20) 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 20765000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24332055).

20765000 is an abundant number, since it is smaller than the sum of its proper divisors (27899110).

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

20765000 is an equidigital number, since it uses as much as digits as its factorization.

20765000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4179 (or 4160 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 20765000 is about 4556.8629560258. The cubic root of 20765000 is about 274.8594322925.

The spelling of 20765000 in words is "twenty million, seven hundred sixty-five thousand".