75905940 has 96 divisors (see below), whose sum is σ = 236888064. Its totient is φ = 18002560.

The previous prime is 75905939. The next prime is 75905993. The reversal of 75905940 is 4950957.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29797 + ... + 32243.

It is an arithmetic number, because the mean of its divisors is an integer number (2467584).

Almost surely, 2^75905940 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 75905940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118444032).

75905940 is an abundant number, since it is smaller than the sum of its proper divisors (160982124).

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

75905940 is a wasteful number, since it uses less digits than its factorization.

75905940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2517 (or 2515 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 39.

The square root of 75905940 is about 8712.4015058995. The cubic root of 75905940 is about 423.4075399843.

It can be divided in two parts, 7590 and 5940, that added together give a triangular number (13530 = T₁₆₄).

The spelling of 75905940 in words is "seventy-five million, nine hundred five thousand, nine hundred forty".