78378768 has 120 divisors (see below), whose sum is σ = 238656600. Its totient is φ = 23869440.

The previous prime is 78378767. The next prime is 78378803. The reversal of 78378768 is 86787387.

It can be written as a sum of positive squares in 4 ways, for example, as 374544 + 78004224 = 612^2 + 8832^2 .

It is a super-2 number, since 2×78378768² = 12286462546395648, which contains 22 as substring.

Its product of digits (3161088) is a multiple of the sum of its prime divisors (448).

It is not an unprimeable number, because it can be changed into a prime (78378763) 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, 278788 + ... + 279068.

It is an arithmetic number, because the mean of its divisors is an integer number (1988805).

Almost surely, 2^78378768 is an apocalyptic number.

78378768 is a gapful number since it is divisible by the number (78) 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 78378768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119328300).

78378768 is an abundant number, since it is smaller than the sum of its proper divisors (160277832).

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

78378768 is a wasteful number, since it uses less digits than its factorization.

78378768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 448 counting only the distinct ones).

The product of its digits is 3161088, while the sum is 54.

The square root of 78378768 is about 8853.1784122992. The cubic root of 78378768 is about 427.9563527272.

The spelling of 78378768 in words is "seventy-eight million, three hundred seventy-eight thousand, seven hundred sixty-eight".