78220440 has 192 divisors, whose sum is σ = 270167040. Its totient is φ = 19595520.

The previous prime is 78220433. The next prime is 78220459. The reversal of 78220440 is 4402287.

It is a super-2 number, since 2×78220440² = 12236874467587200, 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, 479799 + ... + 479961.

It is an arithmetic number, because the mean of its divisors is an integer number (1407120).

Almost surely, 2^78220440 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 78220440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135083520).

78220440 is an abundant number, since it is smaller than the sum of its proper divisors (191946600).

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

78220440 is a wasteful number, since it uses less digits than its factorization.

78220440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 78220440 is about 8844.2320186662. The cubic root of 78220440 is about 427.6679959413.

The spelling of 78220440 in words is "seventy-eight million, two hundred twenty thousand, four hundred forty".