75248880 has 160 divisors (see below), whose sum is σ = 272553984. Its totient is φ = 16816128.

The previous prime is 75248869. The next prime is 75248909. The reversal of 75248880 is 8884257.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78484 + ... + 79436.

Almost surely, 2^75248880 is an apocalyptic number.

75248880 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 75248880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136276992).

75248880 is an abundant number, since it is smaller than the sum of its proper divisors (197305104).

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

75248880 is a wasteful number, since it uses less digits than its factorization.

75248880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 42.

The square root of 75248880 is about 8674.6112304817. The cubic root of 75248880 is about 422.1822921098.

The spelling of 75248880 in words is "seventy-five million, two hundred forty-eight thousand, eight hundred eighty".