759696 has 120 divisors (see below), whose sum is σ = 2544480. Its totient is φ = 193536.

The previous prime is 759691. The next prime is 759697. The reversal of 759696 is 696957.

759696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (759691) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39975 + ... + 39993.

It is an arithmetic number, because the mean of its divisors is an integer number (21204).

2⁷⁵⁹⁶⁹⁶ is an apocalyptic number.

759696 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 759696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1272240).

759696 is an abundant number, since it is smaller than the sum of its proper divisors (1784784).

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

759696 is a wasteful number, since it uses less digits than its factorization.

759696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 48 counting only the distinct ones).

The product of its digits is 102060, while the sum is 42.

The square root of 759696 is about 871.6054153113. The cubic root of 759696 is about 91.2458833447.

The spelling of 759696 in words is "seven hundred fifty-nine thousand, six hundred ninety-six".