75878000 has 80 divisors (see below), whose sum is σ = 200210400. Its totient is φ = 27584000.

The previous prime is 75877957. The next prime is 75878017. The reversal of 75878000 is 87857.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20276 + ... + 23724.

It is an arithmetic number, because the mean of its divisors is an integer number (2502630).

Almost surely, 2^75878000 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 75878000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100105200).

75878000 is an abundant number, since it is smaller than the sum of its proper divisors (124332400).

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

75878000 is a wasteful number, since it uses less digits than its factorization.

75878000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3483 (or 3467 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 35.

The square root of 75878000 is about 8710.7978968634. The cubic root of 75878000 is about 423.3555833195.

The spelling of 75878000 in words is "seventy-five million, eight hundred seventy-eight thousand".