78246720 has 168 divisors, whose sum is σ = 272811240. Its totient is φ = 20582400.

The previous prime is 78246719. The next prime is 78246787. The reversal of 78246720 is 2764287.

It can be written as a sum of positive squares in 4 ways, for example, as 9290304 + 68956416 = 3048^2 + 8304^2 .

It is a super-2 number, since 2×78246720² = 12245098381516800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 290746 + ... + 291014.

Almost surely, 2^78246720 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 78246720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136405620).

78246720 is an abundant number, since it is smaller than the sum of its proper divisors (194564520).

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

78246720 is a wasteful number, since it uses less digits than its factorization.

78246720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 78246720 is about 8845.7176079728. The cubic root of 78246720 is about 427.7158856254.

The spelling of 78246720 in words is "seventy-eight million, two hundred forty-six thousand, seven hundred twenty".