805091078400 has 864 divisors, whose sum is σ = 3106145860608. Its totient is φ = 179844710400.

The previous prime is 805091078381. The next prime is 805091078437. The reversal of 805091078400 is 4870190508.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2320147027 + ... + 2320147373.

Almost surely, 2^805091078400 is an apocalyptic number.

805091078400 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 805091078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1553072930304).

805091078400 is an abundant number, since it is smaller than the sum of its proper divisors (2301054782208).

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

805091078400 is a wasteful number, since it uses less digits than its factorization.

805091078400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

The spelling of 805091078400 in words is "eight hundred five billion, ninety-one million, seventy-eight thousand, four hundred".