804665534400 has 3024 divisors, whose sum is σ = 3926152147680. Its totient is φ = 160840028160.

The previous prime is 804665534371. The next prime is 804665534423. The reversal of 804665534400 is 4435566408.

It is a tau number, because it is divible by the number of its divisors (3024).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 42350817591 + ... + 42350817609.

Almost surely, 2^804665534400 is an apocalyptic number.

804665534400 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 804665534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1963076073840).

804665534400 is an abundant number, since it is smaller than the sum of its proper divisors (3121486613280).

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

804665534400 is a wasteful number, since it uses less digits than its factorization.

804665534400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 804665534400 in words is "eight hundred four billion, six hundred sixty-five million, five hundred thirty-four thousand, four hundred".