78113376 has 96 divisors (see below), whose sum is σ = 248572800. Its totient is φ = 23667840.

The previous prime is 78113369. The next prime is 78113393. The reversal of 78113376 is 67331187.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×78113376² = 12203399020234752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 78113376.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5395 + ... + 13613.

It is an arithmetic number, because the mean of its divisors is an integer number (2589300).

Almost surely, 2^78113376 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 78113376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124286400).

78113376 is an abundant number, since it is smaller than the sum of its proper divisors (170459424).

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

78113376 is a wasteful number, since it uses less digits than its factorization.

78113376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8249 (or 8235 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 78113376 is about 8838.1771876332. The cubic root of 78113376 is about 427.4727837398.

The spelling of 78113376 in words is "seventy-eight million, one hundred thirteen thousand, three hundred seventy-six".