75618480 has 320 divisors, whose sum is σ = 297123840. Its totient is φ = 15510528.

The previous prime is 75618463. The next prime is 75618481. The reversal of 75618480 is 8481657.

It is not an unprimeable number, because it can be changed into a prime (75618481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 734109 + ... + 734211.

It is an arithmetic number, because the mean of its divisors is an integer number (928512).

Almost surely, 2^75618480 is an apocalyptic number.

75618480 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75618480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148561920).

75618480 is an abundant number, since it is smaller than the sum of its proper divisors (221505360).

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

75618480 is a wasteful number, since it uses less digits than its factorization.

75618480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The square root of 75618480 is about 8695.8886837402. Note that the first 3 decimals coincide. The cubic root of 75618480 is about 422.8723745774.

The spelling of 75618480 in words is "seventy-five million, six hundred eighteen thousand, four hundred eighty".