75801825 has 120 divisors (see below), whose sum is σ = 158802336. Its totient is φ = 35424000.

The previous prime is 75801823. The next prime is 75801829. The reversal of 75801825 is 52810857.

It is not a de Polignac number, because 75801825 - 2¹ = 75801823 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 75801825.

It is not an unprimeable number, because it can be changed into a prime (75801821) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 913234 + ... + 913316.

Almost surely, 2^75801825 is an apocalyptic number.

75801825 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

75801825 is an abundant number, since it is smaller than the sum of its proper divisors (83000511).

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

75801825 is a wasteful number, since it uses less digits than its factorization.

75801825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The square root of 75801825 is about 8706.4243521666. The cubic root of 75801825 is about 423.2138649937.

The spelling of 75801825 in words is "seventy-five million, eight hundred one thousand, eight hundred twenty-five".