78486720 has 224 divisors, whose sum is σ = 283342080. Its totient is φ = 18247680.

The previous prime is 78486713. The next prime is 78486743. The reversal of 78486720 is 2768487.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 236955 + ... + 237285.

It is an arithmetic number, because the mean of its divisors is an integer number (1264920).

Almost surely, 2^78486720 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 78486720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141671040).

78486720 is an abundant number, since it is smaller than the sum of its proper divisors (204855360).

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

78486720 is a wasteful number, since it uses less digits than its factorization.

78486720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The square root of 78486720 is about 8859.2731078797. The cubic root of 78486720 is about 428.1527390342.

The spelling of 78486720 in words is "seventy-eight million, four hundred eighty-six thousand, seven hundred twenty".