78135876 has 288 divisors, whose sum is σ = 272982528. Its totient is φ = 18247680.

The previous prime is 78135839. The next prime is 78135907. The reversal of 78135876 is 67853187.

It is a super-2 number, since 2×78135876² = 12210430236574752, which contains 22 as substring.

Its product of digits (282240) is a multiple of the sum of its prime divisors (126).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1280886 + ... + 1280946.

It is an arithmetic number, because the mean of its divisors is an integer number (947856).

Almost surely, 2^78135876 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 78135876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136491264).

78135876 is an abundant number, since it is smaller than the sum of its proper divisors (194846652).

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

78135876 is a wasteful number, since it uses less digits than its factorization.

78135876 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 126 counting only the distinct ones).

The product of its digits is 282240, while the sum is 45.

The square root of 78135876 is about 8839.4499828892. The cubic root of 78135876 is about 427.5138232937.

It can be divided in two parts, 7813 and 5876, that added together give a square (13689 = 117²).

The spelling of 78135876 in words is "seventy-eight million, one hundred thirty-five thousand, eight hundred seventy-six".