78761088 has 96 divisors (see below), whose sum is σ = 259047360. Its totient is φ = 22500864.

The previous prime is 78761083. The next prime is 78761117. The reversal of 78761088 is 88016787.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (78761083) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3181 + ... + 12947.

It is an arithmetic number, because the mean of its divisors is an integer number (2698410).

Almost surely, 2^78761088 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 78761088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129523680).

78761088 is an abundant number, since it is smaller than the sum of its proper divisors (180286272).

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

78761088 is a wasteful number, since it uses less digits than its factorization.

78761088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9794 (or 9779 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 45.

The square root of 78761088 is about 8874.7443906853. The cubic root of 78761088 is about 428.6510602506.

The spelling of 78761088 in words is "seventy-eight million, seven hundred sixty-one thousand, eighty-eight".