75494800 has 60 divisors (see below), whose sum is σ = 186314836. Its totient is φ = 29376000.

The previous prime is 75494747. The next prime is 75494819. The reversal of 75494800 is 849457.

It can be written as a sum of positive squares in 6 ways, for example, as 6471936 + 69022864 = 2544^2 + 8308^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 75494800.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12250 + ... + 17350.

Almost surely, 2^75494800 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 75494800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93157418).

75494800 is an abundant number, since it is smaller than the sum of its proper divisors (110820036).

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

75494800 is a wasteful number, since it uses less digits than its factorization.

75494800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5156 (or 5145 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 75494800 is about 8688.7743669634. The cubic root of 75494800 is about 422.6417017080.

The spelling of 75494800 in words is "seventy-five million, four hundred ninety-four thousand, eight hundred".