785435376 has 160 divisors (see below), whose sum is σ = 2371276800. Its totient is φ = 221495040.

The previous prime is 785435359. The next prime is 785435381. The reversal of 785435376 is 673534587.

785435376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×785435376² = 1233817459744522752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 591225 + ... + 592551.

It is an arithmetic number, because the mean of its divisors is an integer number (14820480).

Almost surely, 2^785435376 is an apocalyptic number.

785435376 is a gapful number since it is divisible by the number (76) 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 785435376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1185638400).

785435376 is an abundant number, since it is smaller than the sum of its proper divisors (1585841424).

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

785435376 is a wasteful number, since it uses less digits than its factorization.

785435376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1427 (or 1421 counting only the distinct ones).

The product of its digits is 2116800, while the sum is 48.

The square root of 785435376 is about 28025.6199931420. The cubic root of 785435376 is about 922.6496457465.

The spelling of 785435376 in words is "seven hundred eighty-five million, four hundred thirty-five thousand, three hundred seventy-six".