803682000 has 600 divisors, whose sum is σ = 3268681416. Its totient is φ = 190080000.

The previous prime is 803681993. The next prime is 803682001. The reversal of 803682000 is 286308.

It can be written as a sum of positive squares in 4 ways, for example, as 181279296 + 622402704 = 13464^2 + 24948^2 .

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (803682001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 19601980 + ... + 19602020.

Almost surely, 2^803682000 is an apocalyptic number.

803682000 is a gapful number since it is divisible by the number (80) 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 803682000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1634340708).

803682000 is an abundant number, since it is smaller than the sum of its proper divisors (2464999416).

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

803682000 is a wasteful number, since it uses less digits than its factorization.

803682000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 803682000 is about 28349.2857052872. The cubic root of 803682000 is about 929.7397815148.

The spelling of 803682000 in words is "eight hundred three million, six hundred eighty-two thousand".