785080138752 has 1386 divisors, whose sum is σ = 2987266163328. Its totient is φ = 205423755264.

The previous prime is 785080138741. The next prime is 785080138811. The reversal of 785080138752 is 257831080587.

785080138752 is a `hidden beast` number, since 7 + 8 + 508 + 0 + 1 + 3 + 87 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 6181733313 + ... + 6181733439.

Almost surely, 2^785080138752 is an apocalyptic number.

785080138752 is a gapful number since it is divisible by the number (72) 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 785080138752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1493633081664).

785080138752 is an abundant number, since it is smaller than the sum of its proper divisors (2202186024576).

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

785080138752 is a wasteful number, since it uses less digits than its factorization.

785080138752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 3763200, while the sum is 54.

The spelling of 785080138752 in words is "seven hundred eighty-five billion, eighty million, one hundred thirty-eight thousand, seven hundred fifty-two".