75748896 has 144 divisors (see below), whose sum is σ = 230630400. Its totient is φ = 23514624.

The previous prime is 75748891. The next prime is 75748909. The reversal of 75748896 is 69884757.

75748896 is a `hidden beast` number, since 75 + 7 + 488 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (75748891) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 596385 + ... + 596511.

It is an arithmetic number, because the mean of its divisors is an integer number (1601600).

Almost surely, 2^75748896 is an apocalyptic number.

75748896 is a gapful number since it is divisible by the number (76) 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 75748896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115315200).

75748896 is an abundant number, since it is smaller than the sum of its proper divisors (154881504).

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

75748896 is a wasteful number, since it uses less digits than its factorization.

75748896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 260 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 54.

The square root of 75748896 is about 8703.3841693907. The cubic root of 75748896 is about 423.1153383317.

The spelling of 75748896 in words is "seventy-five million, seven hundred forty-eight thousand, eight hundred ninety-six".