78762240 has 288 divisors, whose sum is σ = 291392640. Its totient is φ = 20127744.

The previous prime is 78762223. The next prime is 78762247. The reversal of 78762240 is 4226787.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 78762195 and 78762204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78762247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1486054 + ... + 1486106.

It is an arithmetic number, because the mean of its divisors is an integer number (1011780).

Almost surely, 2^78762240 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 78762240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145696320).

78762240 is an abundant number, since it is smaller than the sum of its proper divisors (212630400).

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

78762240 is a wasteful number, since it uses less digits than its factorization.

78762240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 78762240 is about 8874.8092937257. The cubic root of 78762240 is about 428.6531501303.

The spelling of 78762240 in words is "seventy-eight million, seven hundred sixty-two thousand, two hundred forty".