785060377920 has 1008 divisors, whose sum is σ = 3449943124992. Its totient is φ = 160274350080.

The previous prime is 785060377909. The next prime is 785060377943. The reversal of 785060377920 is 29773060587.

785060377920 is a `hidden beast` number, since 7 + 8 + 5 + 0 + 603 + 7 + 7 + 9 + 20 = 666.

785060377920 is digitally balanced in base 2 and base 4, because in such bases 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 (1008).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 105614524 + ... + 105621956.

It is an arithmetic number, because the mean of its divisors is an integer number (3422562624).

Almost surely, 2^785060377920 is an apocalyptic number.

785060377920 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 785060377920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1724971562496).

785060377920 is an abundant number, since it is smaller than the sum of its proper divisors (2664882747072).

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

785060377920 is a wasteful number, since it uses less digits than its factorization.

785060377920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7520 (or 7494 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The spelling of 785060377920 in words is "seven hundred eighty-five billion, sixty million, three hundred seventy-seven thousand, nine hundred twenty".