805329360 has 240 divisors, whose sum is σ = 3079410048. Its totient is φ = 186700800.

The previous prime is 805329353. The next prime is 805329379. The reversal of 805329360 is 63923508.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 179950 + ... + 184370.

Almost surely, 2^805329360 is an apocalyptic number.

805329360 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 805329360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1539705024).

805329360 is an abundant number, since it is smaller than the sum of its proper divisors (2274080688).

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

805329360 is a wasteful number, since it uses less digits than its factorization.

805329360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4474 (or 4465 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 805329360 is about 28378.3255319971. The cubic root of 805329360 is about 930.3745976202.

The spelling of 805329360 in words is "eight hundred five million, three hundred twenty-nine thousand, three hundred sixty".