78326080 has 112 divisors (see below), whose sum is σ = 216529920. Its totient is φ = 26431488.

The previous prime is 78326029. The next prime is 78326159. The reversal of 78326080 is 8062387.

78326080 = 141² + 142² + ... + 619².

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×78326080² = 12269949616332800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163281 + ... + 163759.

Almost surely, 2^78326080 is an apocalyptic number.

78326080 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

78326080 is the 5110-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78326080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108264960).

78326080 is an abundant number, since it is smaller than the sum of its proper divisors (138203840).

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

78326080 is a wasteful number, since it uses less digits than its factorization.

78326080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 78326080 is about 8850.2022575758. The cubic root of 78326080 is about 427.8604372166.

The spelling of 78326080 in words is "seventy-eight million, three hundred twenty-six thousand, eighty".