77800411553800 has 768 divisors, whose sum is σ = 211252478976000. Its totient is φ = 26431184424960.

The previous prime is 77800411553797. The next prime is 77800411553833. The reversal of 77800411553800 is 835511400877.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 66896312019 + ... + 66896313181.

It is an arithmetic number, because the mean of its divisors is an integer number (275068332000).

Almost surely, 2^{77800411553800} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77800411553800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105626239488000).

77800411553800 is an abundant number, since it is smaller than the sum of its proper divisors (133452067422200).

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

77800411553800 is a wasteful number, since it uses less digits than its factorization.

77800411553800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1750 (or 1741 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 49.

The spelling of 77800411553800 in words is "seventy-seven trillion, eight hundred billion, four hundred eleven million, five hundred fifty-three thousand, eight hundred".