75828920 has 32 divisors (see below), whose sum is σ = 171400320. Its totient is φ = 30192000.

The previous prime is 75828919. The next prime is 75828941. The reversal of 75828920 is 2982857.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 4670 + ... + 13170.

It is an arithmetic number, because the mean of its divisors is an integer number (5356260).

Almost surely, 2^75828920 is an apocalyptic number.

It is an amenable number.

75828920 is an abundant number, since it is smaller than the sum of its proper divisors (95571400).

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

75828920 is a wasteful number, since it uses less digits than its factorization.

75828920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8735 (or 8731 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 41.

The square root of 75828920 is about 8707.9802480254. The cubic root of 75828920 is about 423.2642842445.

The spelling of 75828920 in words is "seventy-five million, eight hundred twenty-eight thousand, nine hundred twenty".