785740032 has 432 divisors, whose sum is σ = 2918243328. Its totient is φ = 197406720.

The previous prime is 785739979. The next prime is 785740037. The reversal of 785740032 is 230047587.

It is a super-2 number, since 2×785740032² = 1234774795774722048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (785740037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7628493 + ... + 7628595.

Almost surely, 2^785740032 is an apocalyptic number.

785740032 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 785740032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1459121664).

785740032 is an abundant number, since it is smaller than the sum of its proper divisors (2132503296).

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

785740032 is a wasteful number, since it uses less digits than its factorization.

785740032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 785740032 is about 28031.0547785844. The cubic root of 785740032 is about 922.7689232935.

The spelling of 785740032 in words is "seven hundred eighty-five million, seven hundred forty thousand, thirty-two".