78773240 has 256 divisors, whose sum is σ = 246758400. Its totient is φ = 21897216.

The previous prime is 78773239. The next prime is 78773243. The reversal of 78773240 is 4237787.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 78773194 and 78773203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78773243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1175687 + ... + 1175753.

It is an arithmetic number, because the mean of its divisors is an integer number (963900).

Almost surely, 2^78773240 is an apocalyptic number.

78773240 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78773240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123379200).

78773240 is an abundant number, since it is smaller than the sum of its proper divisors (167985160).

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

78773240 is a wasteful number, since it uses less digits than its factorization.

78773240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 38.

The square root of 78773240 is about 8875.4290037158. The cubic root of 78773240 is about 428.6731045533.

The spelling of 78773240 in words is "seventy-eight million, seven hundred seventy-three thousand, two hundred forty".