5802000 has 80 divisors (see below), whose sum is σ = 18724992. Its totient is φ = 1545600.

The previous prime is 5801989. The next prime is 5802023. The reversal of 5802000 is 2085.

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 (15).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5517 + ... + 6483.

Almost surely, 2^5802000 is an apocalyptic number.

5802000 is a gapful number since it is divisible by the number (50) 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 5802000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9362496).

5802000 is an abundant number, since it is smaller than the sum of its proper divisors (12922992).

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

5802000 is a wasteful number, since it uses less digits than its factorization.

5802000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 993 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 5802000 is about 2408.7341073684. The cubic root of 5802000 is about 179.6908272856.

Adding to 5802000 its reverse (2085), we get a palindrome (5804085).

The spelling of 5802000 in words is "five million, eight hundred two thousand".