78303456 has 288 divisors, whose sum is σ = 289578240. Its totient is φ = 20148480.

The previous prime is 78303439. The next prime is 78303469. The reversal of 78303456 is 65430387.

It is a happy number.

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

It is a super-2 number, since 2×78303456² = 12262862443087872, which contains 22 as substring.

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

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 78303456.

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, 731755 + ... + 731861.

It is an arithmetic number, because the mean of its divisors is an integer number (1005480).

Almost surely, 2^78303456 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 78303456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144789120).

78303456 is an abundant number, since it is smaller than the sum of its proper divisors (211274784).

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

78303456 is a wasteful number, since it uses less digits than its factorization.

78303456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 78303456 is about 8848.9240023858. The cubic root of 78303456 is about 427.8192383095.

The spelling of 78303456 in words is "seventy-eight million, three hundred three thousand, four hundred fifty-six".