75939840 has 180 divisors, whose sum is σ = 265805904. Its totient is φ = 20054016.

The previous prime is 75939839. The next prime is 75939869. The reversal of 75939840 is 4893957.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 737229 + ... + 737331.

Almost surely, 2^75939840 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 75939840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132902952).

75939840 is an abundant number, since it is smaller than the sum of its proper divisors (189866064).

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

75939840 is a wasteful number, since it uses less digits than its factorization.

75939840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 75939840 is about 8714.3467913550. The cubic root of 75939840 is about 423.4705626294.

The spelling of 75939840 in words is "seventy-five million, nine hundred thirty-nine thousand, eight hundred forty".