78611680 has 144 divisors (see below), whose sum is σ = 222699456. Its totient is φ = 26127360.

The previous prime is 78611671. The next prime is 78611699. The reversal of 78611680 is 8611687.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 289945 + ... + 290215.

It is an arithmetic number, because the mean of its divisors is an integer number (1546524).

Almost surely, 2^78611680 is an apocalyptic number.

78611680 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78611680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111349728).

78611680 is an abundant number, since it is smaller than the sum of its proper divisors (144087776).

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

78611680 is a wasteful number, since it uses less digits than its factorization.

78611680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 37.

The square root of 78611680 is about 8866.3228003496. The cubic root of 78611680 is about 428.3798415622.

The spelling of 78611680 in words is "seventy-eight million, six hundred eleven thousand, six hundred eighty".