75687390 has 96 divisors (see below), whose sum is σ = 208241280. Its totient is φ = 19041792.

The previous prime is 75687377. The next prime is 75687401. The reversal of 75687390 is 9378657.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122362 + ... + 122978.

It is an arithmetic number, because the mean of its divisors is an integer number (2169180).

Almost surely, 2^75687390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75687390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104120640).

75687390 is an abundant number, since it is smaller than the sum of its proper divisors (132553890).

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

75687390 is a wasteful number, since it uses less digits than its factorization.

75687390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 75687390 is about 8699.8499987069. The cubic root of 75687390 is about 423.0007880206. Note that the first 3 decimals are identical.

The spelling of 75687390 in words is "seventy-five million, six hundred eighty-seven thousand, three hundred ninety".