78755040 has 288 divisors, whose sum is σ = 331321536. Its totient is φ = 16588800.

The previous prime is 78755023. The next prime is 78755051. The reversal of 78755040 is 4055787.

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 = 78754986 and 78755004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130740 + ... + 131340.

It is an arithmetic number, because the mean of its divisors is an integer number (1150422).

Almost surely, 2^78755040 is an apocalyptic number.

78755040 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 78755040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165660768).

78755040 is an abundant number, since it is smaller than the sum of its proper divisors (252566496).

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

78755040 is a wasteful number, since it uses less digits than its factorization.

78755040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The square root of 78755040 is about 8874.4036419356. The cubic root of 78755040 is about 428.6400880474.

It can be divided in two parts, 7875 and 5040, that multiplied together give a square (39690000 = 6300²).

The spelling of 78755040 in words is "seventy-eight million, seven hundred fifty-five thousand, forty".