830757936 has 80 divisors (see below), whose sum is σ = 2227357440. Its totient is φ = 266622720.

The previous prime is 830757931. The next prime is 830757971. The reversal of 830757936 is 639757038.

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

It is not an unprimeable number, because it can be changed into a prime (830757931) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 143710 + ... + 149378.

It is an arithmetic number, because the mean of its divisors is an integer number (27841968).

Almost surely, 2^830757936 is an apocalyptic number.

830757936 is a gapful number since it is divisible by the number (86) 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 830757936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1113678720).

830757936 is an abundant number, since it is smaller than the sum of its proper divisors (1396599504).

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

830757936 is a wasteful number, since it uses less digits than its factorization.

830757936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5794 (or 5788 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 48.

The square root of 830757936 is about 28822.8717514407. The cubic root of 830757936 is about 940.0656118379.

The spelling of 830757936 in words is "eight hundred thirty million, seven hundred fifty-seven thousand, nine hundred thirty-six".