76275120 has 160 divisors (see below), whose sum is σ = 255340800. Its totient is φ = 18772992.

The previous prime is 76275103. The next prime is 76275127. The reversal of 76275120 is 2157267.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76275127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 195886 + ... + 196274.

It is an arithmetic number, because the mean of its divisors is an integer number (1595880).

Almost surely, 2^76275120 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 76275120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127670400).

76275120 is an abundant number, since it is smaller than the sum of its proper divisors (179065680).

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

76275120 is a wasteful number, since it uses less digits than its factorization.

76275120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 76275120 is about 8733.5628468569. The cubic root of 76275120 is about 424.0928656206.

The spelling of 76275120 in words is "seventy-six million, two hundred seventy-five thousand, one hundred twenty".