78251648 has 32 divisors (see below), whose sum is σ = 157666500. Its totient is φ = 38680576.

The previous prime is 78251627. The next prime is 78251651. The reversal of 78251648 is 84615287.

It can be written as a sum of positive squares in 2 ways, for example, as 60341824 + 17909824 = 7768^2 + 4232^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×78251648² = 12246640829431808, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7958 + ... + 14826.

Almost surely, 2^78251648 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 78251648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78833250).

78251648 is an abundant number, since it is smaller than the sum of its proper divisors (79414852).

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

78251648 is an equidigital number, since it uses as much as digits as its factorization.

78251648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6972 (or 6960 counting only the distinct ones).

The product of its digits is 107520, while the sum is 41.

The square root of 78251648 is about 8845.9961564541. The cubic root of 78251648 is about 427.7248646584.

The spelling of 78251648 in words is "seventy-eight million, two hundred fifty-one thousand, six hundred forty-eight".