785678880 has 384 divisors, whose sum is σ = 3081093120. Its totient is φ = 164229120.

The previous prime is 785678879. The next prime is 785678891. The reversal of 785678880 is 88876587.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 785678880.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1978842 + ... + 1979238.

It is an arithmetic number, because the mean of its divisors is an integer number (8023680).

Almost surely, 2^785678880 is an apocalyptic number.

785678880 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 785678880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1540546560).

785678880 is an abundant number, since it is smaller than the sum of its proper divisors (2295414240).

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

785678880 is a wasteful number, since it uses less digits than its factorization.

785678880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 57.

The square root of 785678880 is about 28029.9639671549. The cubic root of 785678880 is about 922.7449838111.

It can be divided in two parts, 7856 and 78880, that added together give a triangular number (86736 = T₄₁₆).

The spelling of 785678880 in words is "seven hundred eighty-five million, six hundred seventy-eight thousand, eight hundred eighty".