75961080 has 96 divisors (see below), whose sum is σ = 265880160. Its totient is φ = 18696960.

The previous prime is 75961079. The next prime is 75961147. The reversal of 75961080 is 8016957.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3436 + ... + 12795.

It is an arithmetic number, because the mean of its divisors is an integer number (2769585).

Almost surely, 2^75961080 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 75961080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132940080).

75961080 is an abundant number, since it is smaller than the sum of its proper divisors (189919080).

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

75961080 is a wasteful number, since it uses less digits than its factorization.

75961080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16261 (or 16254 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 75961080 is about 8715.5653861353. The cubic root of 75961080 is about 423.5100398275.

The spelling of 75961080 in words is "seventy-five million, nine hundred sixty-one thousand, eighty".