78365880 has 240 divisors, whose sum is σ = 282138120. Its totient is φ = 19502208.

The previous prime is 78365879. The next prime is 78365897. The reversal of 78365880 is 8856387.

It is a super-2 number, since 2×78365880² = 12282422296348800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1169607 + ... + 1169673.

Almost surely, 2^78365880 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 78365880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141069060).

78365880 is an abundant number, since it is smaller than the sum of its proper divisors (203772240).

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

78365880 is a wasteful number, since it uses less digits than its factorization.

78365880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 78365880 is about 8852.4505081926. The cubic root of 78365880 is about 427.9328948276.

The spelling of 78365880 in words is "seventy-eight million, three hundred sixty-five thousand, eight hundred eighty".