75765956 has 48 divisors (see below), whose sum is σ = 161414400. Its totient is φ = 31059336.

The previous prime is 75765917. The next prime is 75765983. The reversal of 75765956 is 65956757.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3294161 + ... + 3294183.

It is an arithmetic number, because the mean of its divisors is an integer number (3362800).

Almost surely, 2^75765956 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75765956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80707200).

75765956 is an abundant number, since it is smaller than the sum of its proper divisors (85648444).

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

75765956 is an frugal number, since it uses more digits than its factorization.

75765956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 32 counting only the distinct ones).

The product of its digits is 1984500, while the sum is 50.

The square root of 75765956 is about 8704.3641927484. The cubic root of 75765956 is about 423.1471003164.

The spelling of 75765956 in words is "seventy-five million, seven hundred sixty-five thousand, nine hundred fifty-six".