78948720 has 120 divisors (see below), whose sum is σ = 270893376. Its totient is φ = 20596224.

The previous prime is 78948659. The next prime is 78948721. The reversal of 78948720 is 2784987.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78948721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32674 + ... + 35006.

Almost surely, 2^78948720 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 78948720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135446688).

78948720 is an abundant number, since it is smaller than the sum of its proper divisors (191944656).

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

78948720 is a wasteful number, since it uses less digits than its factorization.

78948720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2399 (or 2390 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 78948720 is about 8885.3092236568. The cubic root of 78948720 is about 428.9911811316.

The spelling of 78948720 in words is "seventy-eight million, nine hundred forty-eight thousand, seven hundred twenty".