78206880 has 96 divisors (see below), whose sum is σ = 250483968. Its totient is φ = 20505600.

The previous prime is 78206873. The next prime is 78206903. The reversal of 78206880 is 8860287.

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

It is a super-2 number, since 2×78206880² = 12232632158668800, which contains 22 as substring.

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, 27945 + ... + 30615.

It is an arithmetic number, because the mean of its divisors is an integer number (2609208).

Almost surely, 2^78206880 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 78206880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125241984).

78206880 is an abundant number, since it is smaller than the sum of its proper divisors (172277088).

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

78206880 is a wasteful number, since it uses less digits than its factorization.

78206880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2750 (or 2742 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The square root of 78206880 is about 8843.4653841127. The cubic root of 78206880 is about 427.6432815437.

The spelling of 78206880 in words is "seventy-eight million, two hundred six thousand, eight hundred eighty".