78295680 has 256 divisors, whose sum is σ = 290822400. Its totient is φ = 19869696.

The previous prime is 78295673. The next prime is 78295697. The reversal of 78295680 is 8659287.

78295680 is a `hidden beast` number, since 7 + 82 + 9 + 568 + 0 = 666.

It is a super-2 number, since 2×78295680² = 12260427013324800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 397342 + ... + 397538.

It is an arithmetic number, because the mean of its divisors is an integer number (1136025).

Almost surely, 2^78295680 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 78295680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145411200).

78295680 is an abundant number, since it is smaller than the sum of its proper divisors (212526720).

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

78295680 is a wasteful number, since it uses less digits than its factorization.

78295680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 78295680 is about 8848.4846160232. The cubic root of 78295680 is about 427.8050761738.

The spelling of 78295680 in words is "seventy-eight million, two hundred ninety-five thousand, six hundred eighty".