803672064 has 312 divisors, whose sum is σ = 2638157280. Its totient is φ = 241532928.

The previous prime is 803672057. The next prime is 803672069. The reversal of 803672064 is 460276308.

It is a tau number, because it is divible by the number of its divisors (312).

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

It is not an unprimeable number, because it can be changed into a prime (803672069) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18690027 + ... + 18690069.

Almost surely, 2^803672064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 803672064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1319078640).

803672064 is an abundant number, since it is smaller than the sum of its proper divisors (1834485216).

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

803672064 is a wasteful number, since it uses less digits than its factorization.

803672064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 803672064 is about 28349.1104622350. The cubic root of 803672064 is about 929.7359500108.

The spelling of 803672064 in words is "eight hundred three million, six hundred seventy-two thousand, sixty-four".