78575616 has 288 divisors, whose sum is σ = 280098000. Its totient is φ = 21676032.

The previous prime is 78575599. The next prime is 78575633. The reversal of 78575616 is 61657587.

78575616 is a `hidden beast` number, since 7 + 85 + 7 + 561 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (78575599) and next prime (78575633).

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2709490 + ... + 2709518.

Almost surely, 2^78575616 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 78575616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140049000).

78575616 is an abundant number, since it is smaller than the sum of its proper divisors (201522384).

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

78575616 is a wasteful number, since it uses less digits than its factorization.

78575616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 41 counting only the distinct ones).

The product of its digits is 352800, while the sum is 45.

The square root of 78575616 is about 8864.2888039594. The cubic root of 78575616 is about 428.3143235048.

The spelling of 78575616 in words is "seventy-eight million, five hundred seventy-five thousand, six hundred sixteen".