75436480 has 168 divisors, whose sum is σ = 222034608. Its totient is φ = 24256512.

The previous prime is 75436421. The next prime is 75436541. The reversal of 75436480 is 8463457.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 266419 + ... + 266701.

Almost surely, 2^75436480 is an apocalyptic number.

75436480 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 75436480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111017304).

75436480 is an abundant number, since it is smaller than the sum of its proper divisors (146598128).

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

75436480 is a wasteful number, since it uses less digits than its factorization.

75436480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The square root of 75436480 is about 8685.4176641080. The cubic root of 75436480 is about 422.5328429355.

The spelling of 75436480 in words is "seventy-five million, four hundred thirty-six thousand, four hundred eighty".