75876150 has 96 divisors (see below), whose sum is σ = 217128960. Its totient is φ = 17176320.

The previous prime is 75876137. The next prime is 75876181. The reversal of 75876150 is 5167857.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 75876099 and 75876108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 133066 + ... + 133634.

It is an arithmetic number, because the mean of its divisors is an integer number (2261760).

Almost surely, 2^75876150 is an apocalyptic number.

75876150 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 75876150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108564480).

75876150 is an abundant number, since it is smaller than the sum of its proper divisors (141252810).

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

75876150 is a wasteful number, since it uses less digits than its factorization.

75876150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 39.

The square root of 75876150 is about 8710.6917061735. The cubic root of 75876150 is about 423.3521426463.

The spelling of 75876150 in words is "seventy-five million, eight hundred seventy-six thousand, one hundred fifty".