75257820 has 144 divisors (see below), whose sum is σ = 251596800. Its totient is φ = 18057600.

The previous prime is 75257807. The next prime is 75257839. The reversal of 75257820 is 2875257.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 378081 + ... + 378279.

It is an arithmetic number, because the mean of its divisors is an integer number (1747200).

Almost surely, 2^75257820 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 75257820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125798400).

75257820 is an abundant number, since it is smaller than the sum of its proper divisors (176338980).

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

75257820 is a wasteful number, since it uses less digits than its factorization.

75257820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The square root of 75257820 is about 8675.1265120458. The cubic root of 75257820 is about 422.1990106764.

The spelling of 75257820 in words is "seventy-five million, two hundred fifty-seven thousand, eight hundred twenty".