78562440 has 256 divisors, whose sum is σ = 303264000. Its totient is φ = 17879040.

The previous prime is 78562439. The next prime is 78562441. The reversal of 78562440 is 4426587.

It is an interprime number because it is at equal distance from previous prime (78562439) and next prime (78562441).

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 = 78562395 and 78562404.

It is not an unprimeable number, because it can be changed into a prime (78562441) 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 63 ways as a sum of consecutive naturals, for example, 201766 + ... + 202154.

It is an arithmetic number, because the mean of its divisors is an integer number (1184625).

Almost surely, 2^78562440 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 78562440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151632000).

78562440 is an abundant number, since it is smaller than the sum of its proper divisors (224701560).

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

78562440 is a wasteful number, since it uses less digits than its factorization.

78562440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 427 counting only the distinct ones).

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

The square root of 78562440 is about 8863.5455659685. The cubic root of 78562440 is about 428.2903814504.

It can be divided in two parts, 7856 and 2440, that added together give a triangular number (10296 = T₁₄₃).

The spelling of 78562440 in words is "seventy-eight million, five hundred sixty-two thousand, four hundred forty".