78756720 has 240 divisors, whose sum is σ = 293293728. Its totient is φ = 17418240.

The previous prime is 78756719. The next prime is 78756731. The reversal of 78756720 is 2765787.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 435030 + ... + 435210.

Almost surely, 2^78756720 is an apocalyptic number.

78756720 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 78756720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146646864).

78756720 is an abundant number, since it is smaller than the sum of its proper divisors (214537008).

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

78756720 is a wasteful number, since it uses less digits than its factorization.

78756720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 164640, while the sum is 42.

The square root of 78756720 is about 8874.4982956785. The cubic root of 78756720 is about 428.6431359380.

The spelling of 78756720 in words is "seventy-eight million, seven hundred fifty-six thousand, seven hundred twenty".