778611191040 has 1296 divisors, whose sum is σ = 3041388604800. Its totient is φ = 190374395904.

The previous prime is 778611191027. The next prime is 778611191053. The reversal of 778611191040 is 40191116877.

778611191040 is a `hidden beast` number, since 7 + 7 + 8 + 611 + 19 + 10 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (778611191027) and next prime (778611191053).

It is a tau number, because it is divible by the number of its divisors (1296).

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

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5601519291 + ... + 5601519429.

Almost surely, 2^778611191040 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 778611191040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1520694302400).

778611191040 is an abundant number, since it is smaller than the sum of its proper divisors (2262777413760).

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

778611191040 is an equidigital number, since it uses as much as digits as its factorization.

778611191040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 45.

The spelling of 778611191040 in words is "seven hundred seventy-eight billion, six hundred eleven million, one hundred ninety-one thousand, forty".