804017088 has 252 divisors, whose sum is σ = 2730608712. Its totient is φ = 225469440.

The previous prime is 804017077. The next prime is 804017089. The reversal of 804017088 is 880710408.

It is a tau number, because it is divible by the number of its divisors (252).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (804017089) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1721431 + ... + 1721897.

Almost surely, 2^804017088 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 804017088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1365304356).

804017088 is an abundant number, since it is smaller than the sum of its proper divisors (1926591624).

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

804017088 is a wasteful number, since it uses less digits than its factorization.

804017088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 804017088 is about 28355.1950795617. The cubic root of 804017088 is about 929.8689791143.

The spelling of 804017088 in words is "eight hundred four million, seventeen thousand, eighty-eight".