75813276 has 72 divisors (see below), whose sum is σ = 222248320. Its totient is φ = 19689120.

The previous prime is 75813239. The next prime is 75813277. The reversal of 75813276 is 67231857.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75813277) 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 23 ways as a sum of consecutive naturals, for example, 6435 + ... + 13893.

Almost surely, 2^75813276 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 75813276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111124160).

75813276 is an abundant number, since it is smaller than the sum of its proper divisors (146435044).

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

75813276 is a wasteful number, since it uses less digits than its factorization.

75813276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7495 (or 7482 counting only the distinct ones).

The product of its digits is 70560, while the sum is 39.

The square root of 75813276 is about 8707.0819451754. The cubic root of 75813276 is about 423.2351748499.

The spelling of 75813276 in words is "seventy-five million, eight hundred thirteen thousand, two hundred seventy-six".