78778960 has 80 divisors (see below), whose sum is σ = 198737280. Its totient is φ = 28869120.

The previous prime is 78778943. The next prime is 78778961. The reversal of 78778960 is 6987787.

It is a happy number.

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

It is a super-2 number, since 2×78778960² = 12412249077363200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 78778898 and 78778907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78778961) 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, 219261 + ... + 219619.

It is an arithmetic number, because the mean of its divisors is an integer number (2484216).

Almost surely, 2^78778960 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 78778960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99368640).

78778960 is an abundant number, since it is smaller than the sum of its proper divisors (119958320).

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

78778960 is a wasteful number, since it uses less digits than its factorization.

78778960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 52.

The square root of 78778960 is about 8875.7512358110. The cubic root of 78778960 is about 428.6834801192.

The spelling of 78778960 in words is "seventy-eight million, seven hundred seventy-eight thousand, nine hundred sixty".