78048768 has 240 divisors, whose sum is σ = 260300304. Its totient is φ = 20643840.

The previous prime is 78048767. The next prime is 78048779. The reversal of 78048768 is 86784087.

It is a super-2 number, since 2×78048768² = 12183220372635648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78048767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1279458 + ... + 1279518.

Almost surely, 2^78048768 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 78048768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130150152).

78048768 is an abundant number, since it is smaller than the sum of its proper divisors (182251536).

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

78048768 is a wasteful number, since it uses less digits than its factorization.

78048768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 48.

The square root of 78048768 is about 8834.5213792259. The cubic root of 78048768 is about 427.3548962072.

The spelling of 78048768 in words is "seventy-eight million, forty-eight thousand, seven hundred sixty-eight".