78262951680 has 1296 divisors, whose sum is σ = 321455088864. Its totient is φ = 18154782720.

The previous prime is 78262951631. The next prime is 78262951747. The reversal of 78262951680 is 8615926287.

78262951680 is a `hidden beast` number, since 7 + 8 + 2 + 629 + 5 + 1 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-2 number, since 2×78262951680² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1908852460 + ... + 1908852500.

It is an arithmetic number, because the mean of its divisors is an integer number (248036334).

Almost surely, 2^78262951680 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 78262951680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160727544432).

78262951680 is an abundant number, since it is smaller than the sum of its proper divisors (243192137184).

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

78262951680 is a wasteful number, since it uses less digits than its factorization.

78262951680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 78262951680 in words is "seventy-eight billion, two hundred sixty-two million, nine hundred fifty-one thousand, six hundred eighty".