78351680 has 56 divisors (see below), whose sum is σ = 203545440. Its totient is φ = 28490240.

The previous prime is 78351671. The next prime is 78351709. The reversal of 78351680 is 8615387.

It is a super-2 number, since 2×78351680² = 12277971517644800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7610 + ... + 14649.

It is an arithmetic number, because the mean of its divisors is an integer number (3634740).

Almost surely, 2^78351680 is an apocalyptic number.

It is an amenable number.

78351680 is an abundant number, since it is smaller than the sum of its proper divisors (125193760).

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

78351680 is a wasteful number, since it uses less digits than its factorization.

78351680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22287 (or 22277 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 38.

The square root of 78351680 is about 8851.6484340489. The cubic root of 78351680 is about 427.9070459328.

The spelling of 78351680 in words is "seventy-eight million, three hundred fifty-one thousand, six hundred eighty".