75679648 has 48 divisors (see below), whose sum is σ = 172113984. Its totient is φ = 32373760.

The previous prime is 75679619. The next prime is 75679663. The reversal of 75679648 is 84697657.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 75679595 and 75679604.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 340 + ... + 12307.

It is an arithmetic number, because the mean of its divisors is an integer number (3585708).

Almost surely, 2^75679648 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 75679648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86056992).

75679648 is an abundant number, since it is smaller than the sum of its proper divisors (96434336).

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

75679648 is a wasteful number, since it uses less digits than its factorization.

75679648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12685 (or 12677 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 52.

The square root of 75679648 is about 8699.4050371275. The cubic root of 75679648 is about 422.9863647295.

Subtracting 75679648 from its reverse (84697657), we obtain a square (9018009 = 3003²).

The spelling of 75679648 in words is "seventy-five million, six hundred seventy-nine thousand, six hundred forty-eight".