78418240 has 112 divisors (see below), whose sum is σ = 197144640. Its totient is φ = 29675520.

The previous prime is 78418237. The next prime is 78418259. The reversal of 78418240 is 4281487.

It is a super-2 number, since 2×78418240² = 12298840729395200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 78418196 and 78418205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 564091 + ... + 564229.

It is an arithmetic number, because the mean of its divisors is an integer number (1760220).

Almost surely, 2^78418240 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 78418240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98572320).

78418240 is an abundant number, since it is smaller than the sum of its proper divisors (118726400).

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

78418240 is a wasteful number, since it uses less digits than its factorization.

78418240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 34.

The square root of 78418240 is about 8855.4073875796. The cubic root of 78418240 is about 428.0281811007.

The spelling of 78418240 in words is "seventy-eight million, four hundred eighteen thousand, two hundred forty".