75996480 has 224 divisors, whose sum is σ = 283244544. Its totient is φ = 16902144.

The previous prime is 75996467. The next prime is 75996491. The reversal of 75996480 is 8469957.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 288829 + ... + 289091.

Almost surely, 2^75996480 is an apocalyptic number.

75996480 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 75996480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141622272).

75996480 is an abundant number, since it is smaller than the sum of its proper divisors (207248064).

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

75996480 is a wasteful number, since it uses less digits than its factorization.

75996480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The square root of 75996480 is about 8717.5959988979. The cubic root of 75996480 is about 423.5758188074.

The spelling of 75996480 in words is "seventy-five million, nine hundred ninety-six thousand, four hundred eighty".