75829380 has 96 divisors (see below), whose sum is σ = 243855360. Its totient is φ = 17412480.

The previous prime is 75829373. The next prime is 75829409. The reversal of 75829380 is 8392857.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9517 + ... + 15563.

It is an arithmetic number, because the mean of its divisors is an integer number (2540160).

Almost surely, 2^75829380 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 75829380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121927680).

75829380 is an abundant number, since it is smaller than the sum of its proper divisors (168025980).

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

75829380 is a wasteful number, since it uses less digits than its factorization.

75829380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6089 (or 6087 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 75829380 is about 8708.0066605395. The cubic root of 75829380 is about 423.2651401237.

The spelling of 75829380 in words is "seventy-five million, eight hundred twenty-nine thousand, three hundred eighty".