78765984 has 216 divisors, whose sum is σ = 260874432. Its totient is φ = 22344960.

The previous prime is 78765983. The next prime is 78765997. The reversal of 78765984 is 48956787.

Its product of digits (3386880) is a multiple of the sum of its prime factors (120).

It is a self number, because there is not a number n which added to its sum of digits gives 78765984.

It is not an unprimeable number, because it can be changed into a prime (78765983) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1675849 + ... + 1675895.

It is an arithmetic number, because the mean of its divisors is an integer number (1207752).

Almost surely, 2^78765984 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 78765984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130437216).

78765984 is an abundant number, since it is smaller than the sum of its proper divisors (182108448).

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

78765984 is a wasteful number, since it uses less digits than its factorization.

78765984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 86 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 54.

The square root of 78765984 is about 8875.0202253291. The cubic root of 78765984 is about 428.6599420989.

The spelling of 78765984 in words is "seventy-eight million, seven hundred sixty-five thousand, nine hundred eighty-four".