786784078080 has 3888 divisors, whose sum is σ = 4071764458944. Its totient is φ = 142968913920.

The previous prime is 786784078057. The next prime is 786784078109. The reversal of 786784078080 is 80870487687.

786784078080 is a `hidden beast` number, since 7 + 8 + 6 + 78 + 407 + 80 + 80 = 666.

786784078080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (3888).

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

It is a junction number, because it is equal to n+sod(n) for n = 786784077999 and 786784078017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 41409688311 + ... + 41409688329.

Almost surely, 2^786784078080 is an apocalyptic number.

786784078080 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 786784078080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2035882229472).

786784078080 is an abundant number, since it is smaller than the sum of its proper divisors (3284980380864).

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

786784078080 is a wasteful number, since it uses less digits than its factorization.

786784078080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 33718272, while the sum is 63.

The spelling of 786784078080 in words is "seven hundred eighty-six billion, seven hundred eighty-four million, seventy-eight thousand, eighty".