75577480 has 64 divisors (see below), whose sum is σ = 191937600. Its totient is φ = 26530560.

The previous prime is 75577429. The next prime is 75577493. The reversal of 75577480 is 8477557.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9799 + ... + 15721.

It is an arithmetic number, because the mean of its divisors is an integer number (2999025).

Almost surely, 2^75577480 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 75577480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95968800).

75577480 is an abundant number, since it is smaller than the sum of its proper divisors (116360120).

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

75577480 is a wasteful number, since it uses less digits than its factorization.

75577480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5974 (or 5970 counting only the distinct ones).

The product of its (nonzero) digits is 274400, while the sum is 43.

The square root of 75577480 is about 8693.5309282247. The cubic root of 75577480 is about 422.7959342602.

The spelling of 75577480 in words is "seventy-five million, five hundred seventy-seven thousand, four hundred eighty".