75936960 has 448 divisors, whose sum is σ = 316016640. Its totient is φ = 16957440.

The previous prime is 75936947. The next prime is 75936979. The reversal of 75936960 is 6963957.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1615657 + ... + 1615703.

Almost surely, 2^75936960 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 75936960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158008320).

75936960 is an abundant number, since it is smaller than the sum of its proper divisors (240079680).

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

75936960 is a wasteful number, since it uses less digits than its factorization.

75936960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The square root of 75936960 is about 8714.1815450448. The cubic root of 75936960 is about 423.4652092223.

The spelling of 75936960 in words is "seventy-five million, nine hundred thirty-six thousand, nine hundred sixty".