805553781120 has 768 divisors, whose sum is σ = 3202589145600. Its totient is φ = 184666521600.

The previous prime is 805553781101. The next prime is 805553781127. The reversal of 805553781120 is 21187355508.

805553781120 is a `hidden beast` number, since 8 + 0 + 5 + 553 + 7 + 81 + 12 + 0 = 666.

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 (805553781127) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 129694815 + ... + 129701025.

It is an arithmetic number, because the mean of its divisors is an integer number (4170037950).

Almost surely, 2^805553781120 is an apocalyptic number.

805553781120 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 805553781120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1601294572800).

805553781120 is an abundant number, since it is smaller than the sum of its proper divisors (2397035364480).

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

805553781120 is a wasteful number, since it uses less digits than its factorization.

805553781120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6359 (or 6344 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 45.

The spelling of 805553781120 in words is "eight hundred five billion, five hundred fifty-three million, seven hundred eighty-one thousand, one hundred twenty".