75857040 has 320 divisors, whose sum is σ = 310694400. Its totient is φ = 16644096.

The previous prime is 75857027. The next prime is 75857053. The reversal of 75857040 is 4075857.

75857040 is a `hidden beast` number, since 7 + 585 + 70 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (75857027) and next prime (75857053).

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

It is a junction number, because it is equal to n+sod(n) for n = 75856986 and 75857004.

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 63 ways as a sum of consecutive naturals, for example, 438394 + ... + 438566.

It is an arithmetic number, because the mean of its divisors is an integer number (970920).

Almost surely, 2^75857040 is an apocalyptic number.

75857040 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 75857040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155347200).

75857040 is an abundant number, since it is smaller than the sum of its proper divisors (234837360).

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

75857040 is a wasteful number, since it uses less digits than its factorization.

75857040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 219 counting only the distinct ones).

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

The square root of 75857040 is about 8709.5947092847. The cubic root of 75857040 is about 423.3165981494.

The spelling of 75857040 in words is "seventy-five million, eight hundred fifty-seven thousand, forty".