10802000 has 80 divisors (see below), whose sum is σ = 28551744. Its totient is φ = 3920000.

The previous prime is 10801997. The next prime is 10802003. The reversal of 10802000 is 20801.

It is an interprime number because it is at equal distance from previous prime (10801997) and next prime (10802003).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (11).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10802003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21755 + ... + 22245.

Almost surely, 2^10802000 is an apocalyptic number.

10802000 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 10802000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14275872).

10802000 is an abundant number, since it is smaller than the sum of its proper divisors (17749744).

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

10802000 is a wasteful number, since it uses less digits than its factorization.

10802000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 10802000 is about 3286.6396212545. The cubic root of 10802000 is about 221.0555336374.

Adding to 10802000 its reverse (20801), we get a palindrome (10822801).

The spelling of 10802000 in words is "ten million, eight hundred two thousand".