75874880 has 56 divisors (see below), whose sum is σ = 182197248. Its totient is φ = 30094848.

The previous prime is 75874849. The next prime is 75874889. The reversal of 75874880 is 8847857.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (75874889) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39707 + ... + 41573.

Almost surely, 2^75874880 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 75874880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91098624).

75874880 is an abundant number, since it is smaller than the sum of its proper divisors (106322368).

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

75874880 is a wasteful number, since it uses less digits than its factorization.

75874880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2011 (or 2001 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 47.

The square root of 75874880 is about 8710.6188069505. The cubic root of 75874880 is about 423.3497806383.

The spelling of 75874880 in words is "seventy-five million, eight hundred seventy-four thousand, eight hundred eighty".