78728760 has 240 divisors, whose sum is σ = 294944760. Its totient is φ = 18679680.

The previous prime is 78728719. The next prime is 78728813. The reversal of 78728760 is 6782787.

It is a super-2 number, since 2×78728760² = 12396435302275200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1675057 + ... + 1675103.

Almost surely, 2^78728760 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 78728760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147472380).

78728760 is an abundant number, since it is smaller than the sum of its proper divisors (216216000).

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

78728760 is a wasteful number, since it uses less digits than its factorization.

78728760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The square root of 78728760 is about 8872.9228555195. The cubic root of 78728760 is about 428.5924046876.

The spelling of 78728760 in words is "seventy-eight million, seven hundred twenty-eight thousand, seven hundred sixty".