78754368 has 168 divisors, whose sum is σ = 264773664. Its totient is φ = 20428800.

The previous prime is 78754363. The next prime is 78754391. The reversal of 78754368 is 86345787.

It is a tau number, because it is divible by the number of its divisors (168).

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

Its product of digits (1128960) is a multiple of the sum of its prime divisors (784).

It is not an unprimeable number, because it can be changed into a prime (78754363) 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, 103108 + ... + 103868.

Almost surely, 2^78754368 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 78754368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132386832).

78754368 is an abundant number, since it is smaller than the sum of its proper divisors (186019296).

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

78754368 is a wasteful number, since it uses less digits than its factorization.

78754368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801 (or 784 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 48.

The square root of 78754368 is about 8874.3657801558. The cubic root of 78754368 is about 428.6388688791.

It can be divided in two parts, 787 and 54368, that added together give a palindrome (55155).

The spelling of 78754368 in words is "seventy-eight million, seven hundred fifty-four thousand, three hundred sixty-eight".