75789648 has 160 divisors (see below), whose sum is σ = 243734400. Its totient is φ = 22348800.

The previous prime is 75789647. The next prime is 75789661. The reversal of 75789648 is 84698757.

75789648 is a `hidden beast` number, since 7 + 578 + 9 + 64 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 75789594 and 75789603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75789647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 194638 + ... + 195026.

It is an arithmetic number, because the mean of its divisors is an integer number (1523340).

Almost surely, 2^75789648 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 75789648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121867200).

75789648 is an abundant number, since it is smaller than the sum of its proper divisors (167944752).

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

75789648 is a wasteful number, since it uses less digits than its factorization.

75789648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 446 counting only the distinct ones).

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

The square root of 75789648 is about 8705.7250128866. The cubic root of 75789648 is about 423.1912017258.

The spelling of 75789648 in words is "seventy-five million, seven hundred eighty-nine thousand, six hundred forty-eight".