75957420 has 192 divisors, whose sum is σ = 272305152. Its totient is φ = 15360000.

The previous prime is 75957419. The next prime is 75957437. The reversal of 75957420 is 2475957.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 189220 + ... + 189620.

It is an arithmetic number, because the mean of its divisors is an integer number (1418256).

Almost surely, 2^75957420 is an apocalyptic number.

75957420 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75957420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136152576).

75957420 is an abundant number, since it is smaller than the sum of its proper divisors (196347732).

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

75957420 is a wasteful number, since it uses less digits than its factorization.

75957420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 39.

The square root of 75957420 is about 8715.3554144395. The cubic root of 75957420 is about 423.5032377843.

The spelling of 75957420 in words is "seventy-five million, nine hundred fifty-seven thousand, four hundred twenty".