75345480 has 192 divisors, whose sum is σ = 289785600. Its totient is φ = 16611840.

The previous prime is 75345433. The next prime is 75345481. The reversal of 75345480 is 8454357.

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

It is not an unprimeable number, because it can be changed into a prime (75345481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72565 + ... + 73595.

It is an arithmetic number, because the mean of its divisors is an integer number (1509300).

Almost surely, 2^75345480 is an apocalyptic number.

75345480 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 75345480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144892800).

75345480 is an abundant number, since it is smaller than the sum of its proper divisors (214440120).

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

75345480 is a wasteful number, since it uses less digits than its factorization.

75345480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1084 (or 1077 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 75345480 is about 8680.1774175416. The cubic root of 75345480 is about 422.3628722963.

The spelling of 75345480 in words is "seventy-five million, three hundred forty-five thousand, four hundred eighty".