78124560 has 80 divisors (see below), whose sum is σ = 252733824. Its totient is φ = 19926016.

The previous prime is 78124517. The next prime is 78124567. The reversal of 78124560 is 6542187.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×78124560² = 12206893750387200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78124567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1557 + ... + 12596.

Almost surely, 2^78124560 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 78124560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126366912).

78124560 is an abundant number, since it is smaller than the sum of its proper divisors (174609264).

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

78124560 is a wasteful number, since it uses less digits than its factorization.

78124560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14192 (or 14186 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 78124560 is about 8838.8098746381. The cubic root of 78124560 is about 427.4931841190.

The spelling of 78124560 in words is "seventy-eight million, one hundred twenty-four thousand, five hundred sixty".