75628080 has 200 divisors, whose sum is σ = 286816464. Its totient is φ = 18316800.

The previous prime is 75628061. The next prime is 75628109. The reversal of 75628080 is 8082657.

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 39 ways as a sum of consecutive naturals, for example, 70750 + ... + 71810.

Almost surely, 2^75628080 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 75628080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143408232).

75628080 is an abundant number, since it is smaller than the sum of its proper divisors (211188384).

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

75628080 is a wasteful number, since it uses less digits than its factorization.

75628080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1097 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 75628080 is about 8696.4406512090. The cubic root of 75628080 is about 422.8902688056.

The spelling of 75628080 in words is "seventy-five million, six hundred twenty-eight thousand, eighty".