804669840 has 360 divisors, whose sum is σ = 3106307880. Its totient is φ = 185942016.

The previous prime is 804669809. The next prime is 804669847. The reversal of 804669840 is 48966408.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 450627984 + 354041856 = 21228^2 + 18816^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (804669847) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2068366 + ... + 2068754.

It is an arithmetic number, because the mean of its divisors is an integer number (8628633).

Almost surely, 2^804669840 is an apocalyptic number.

804669840 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 804669840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1553153940).

804669840 is an abundant number, since it is smaller than the sum of its proper divisors (2301638040).

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

804669840 is a wasteful number, since it uses less digits than its factorization.

804669840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 804669840 is about 28366.7030160362. The cubic root of 804669840 is about 930.1205532242.

The spelling of 804669840 in words is "eight hundred four million, six hundred sixty-nine thousand, eight hundred forty".