78051680 has 96 divisors (see below), whose sum is σ = 212357376. Its totient is φ = 26555904.

The previous prime is 78051667. The next prime is 78051691. The reversal of 78051680 is 8615087.

It is a happy number.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 78051680.

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 15 ways as a sum of consecutive naturals, for example, 254087 + ... + 254393.

It is an arithmetic number, because the mean of its divisors is an integer number (2212056).

Almost surely, 2^78051680 is an apocalyptic number.

78051680 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78051680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106178688).

78051680 is an abundant number, since it is smaller than the sum of its proper divisors (134305696).

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

78051680 is a wasteful number, since it uses less digits than its factorization.

78051680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 35.

The square root of 78051680 is about 8834.6861857114. The cubic root of 78051680 is about 427.3602110123.

The spelling of 78051680 in words is "seventy-eight million, fifty-one thousand, six hundred eighty".