778773974720 has 448 divisors, whose sum is σ = 2251795685376. Its totient is φ = 250942095360.

The previous prime is 778773974663. The next prime is 778773974777. The reversal of 778773974720 is 27479377877.

It is an interprime number because it is at equal distance from previous prime (778773974663) and next prime (778773974777).

It is a tau number, because it is divible by the number of its divisors (448).

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 63 ways as a sum of consecutive naturals, for example, 339629894 + ... + 339632186.

Almost surely, 2^778773974720 is an apocalyptic number.

778773974720 is a gapful number since it is divisible by the number (70) 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 778773974720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1125897842688).

778773974720 is an abundant number, since it is smaller than the sum of its proper divisors (1473021710656).

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

778773974720 is a wasteful number, since it uses less digits than its factorization.

778773974720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2488 (or 2478 counting only the distinct ones).

The product of its (nonzero) digits is 203297472, while the sum is 68.

The spelling of 778773974720 in words is "seven hundred seventy-eight billion, seven hundred seventy-three million, nine hundred seventy-four thousand, seven hundred twenty".