78408288 has 288 divisors, whose sum is σ = 283046400. Its totient is φ = 20072448.

The previous prime is 78408259. The next prime is 78408293. The reversal of 78408288 is 88280487.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×78408288² = 12295719254181888, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 880948 + ... + 881036.

It is an arithmetic number, because the mean of its divisors is an integer number (982800).

Almost surely, 2^78408288 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 78408288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141523200).

78408288 is an abundant number, since it is smaller than the sum of its proper divisors (204638112).

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

78408288 is a wasteful number, since it uses less digits than its factorization.

78408288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The square root of 78408288 is about 8854.8454531968. The cubic root of 78408288 is about 428.0100734229.

It can be divided in two parts, 78408 and 288, that multiplied together give a square (22581504 = 4752²).

The spelling of 78408288 in words is "seventy-eight million, four hundred eight thousand, two hundred eighty-eight".