75807006 has 48 divisors (see below), whose sum is σ = 170190720. Its totient is φ = 22324320.

The previous prime is 75806999. The next prime is 75807007. The reversal of 75807006 is 60070857.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75807007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89935 + ... + 90773.

It is an arithmetic number, because the mean of its divisors is an integer number (3545640).

Almost surely, 2^75807006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75807006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85095360).

75807006 is an abundant number, since it is smaller than the sum of its proper divisors (94383714).

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

75807006 is a wasteful number, since it uses less digits than its factorization.

75807006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 929 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

The square root of 75807006 is about 8706.7218859913. The cubic root of 75807006 is about 423.2235068948.

The spelling of 75807006 in words is "seventy-five million, eight hundred seven thousand, six".