804856478400 has 336 divisors, whose sum is σ = 3159694468000. Its totient is φ = 198118379520.

The previous prime is 804856478389. The next prime is 804856478411. The reversal of 804856478400 is 4874658408.

804856478400 is a `hidden beast` number, since 8 + 0 + 4 + 8 + 564 + 78 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (804856478389) and next prime (804856478411).

It is a super-3 number, since 3×804856478400³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 154975 + ... + 1278174.

Almost surely, 2^804856478400 is an apocalyptic number.

804856478400 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 804856478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1579847234000).

804856478400 is an abundant number, since it is smaller than the sum of its proper divisors (2354837989600).

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

804856478400 is a wasteful number, since it uses less digits than its factorization.

804856478400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1433193 (or 1433172 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 804856478400 in words is "eight hundred four billion, eight hundred fifty-six million, four hundred seventy-eight thousand, four hundred".