778745920680 has 384 divisors, whose sum is σ = 3118627249920. Its totient is φ = 164114657280.

The previous prime is 778745920607. The next prime is 778745920697. The reversal of 778745920680 is 86029547877.

778745920680 is a `hidden beast` number, since 7 + 7 + 87 + 459 + 20 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28913620 + ... + 28940540.

It is an arithmetic number, because the mean of its divisors is an integer number (8121425130).

Almost surely, 2^778745920680 is an apocalyptic number.

778745920680 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 778745920680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1559313624960).

778745920680 is an abundant number, since it is smaller than the sum of its proper divisors (2339881329240).

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

778745920680 is a wasteful number, since it uses less digits than its factorization.

778745920680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27841 (or 27834 counting only the distinct ones).

The product of its (nonzero) digits is 47416320, while the sum is 63.

The spelling of 778745920680 in words is "seven hundred seventy-eight billion, seven hundred forty-five million, nine hundred twenty thousand, six hundred eighty".