78296880 has 160 divisors (see below), whose sum is σ = 254358720. Its totient is φ = 19906560.

The previous prime is 78296873. The next prime is 78296923. The reversal of 78296880 is 8869287.

It is a happy number.

It is a super-2 number, since 2×78296880² = 12260802835468800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 31 ways as a sum of consecutive naturals, for example, 718266 + ... + 718374.

It is an arithmetic number, because the mean of its divisors is an integer number (1589742).

Almost surely, 2^78296880 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 78296880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127179360).

78296880 is an abundant number, since it is smaller than the sum of its proper divisors (176061840).

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

78296880 is a wasteful number, since it uses less digits than its factorization.

78296880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The square root of 78296880 is about 8848.5524239844. The cubic root of 78296880 is about 427.8072617497.

The spelling of 78296880 in words is "seventy-eight million, two hundred ninety-six thousand, eight hundred eighty".