78265440 has 336 divisors, whose sum is σ = 307386576. Its totient is φ = 18662400.

The previous prime is 78265349. The next prime is 78265441. The reversal of 78265440 is 4456287.

It is a super-2 number, since 2×78265440² = 12250958196787200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 78265395 and 78265404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78265441) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 1283010 + ... + 1283070.

It is an arithmetic number, because the mean of its divisors is an integer number (914841).

Almost surely, 2^78265440 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 78265440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153693288).

78265440 is an abundant number, since it is smaller than the sum of its proper divisors (229121136).

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

78265440 is a wasteful number, since it uses less digits than its factorization.

78265440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 78265440 is about 8846.7756838297. The cubic root of 78265440 is about 427.7499922859.

The spelling of 78265440 in words is "seventy-eight million, two hundred sixty-five thousand, four hundred forty".