78223320 has 160 divisors (see below), whose sum is σ = 300564000. Its totient is φ = 17874432.

The previous prime is 78223309. The next prime is 78223331. The reversal of 78223320 is 2332287.

It is an interprime number because it is at equal distance from previous prime (78223309) and next prime (78223331).

It is a super-2 number, since 2×78223320² = 12237775583644800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20956 + ... + 24404.

It is an arithmetic number, because the mean of its divisors is an integer number (1878525).

Almost surely, 2^78223320 is an apocalyptic number.

78223320 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78223320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150282000).

78223320 is an abundant number, since it is smaller than the sum of its proper divisors (222340680).

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

78223320 is a wasteful number, since it uses less digits than its factorization.

78223320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3479 (or 3466 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 78223320 is about 8844.3948351484. The cubic root of 78223320 is about 427.6732446491.

The spelling of 78223320 in words is "seventy-eight million, two hundred twenty-three thousand, three hundred twenty".