77679689472 has 432 divisors, whose sum is σ = 289594835712. Its totient is φ = 20175298560.

The previous prime is 77679689453. The next prime is 77679689489. The reversal of 77679689472 is 27498697677.

77679689472 is a `hidden beast` number, since 7 + 7 + 6 + 79 + 6 + 89 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 77679689472.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4781908 + ... + 4798124.

It is an arithmetic number, because the mean of its divisors is an integer number (670358416).

Almost surely, 2^77679689472 is an apocalyptic number.

77679689472 is a gapful number since it is divisible by the number (72) 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 77679689472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144797417856).

77679689472 is an abundant number, since it is smaller than the sum of its proper divisors (211915146240).

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

77679689472 is a wasteful number, since it uses less digits than its factorization.

77679689472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16266 (or 16240 counting only the distinct ones).

The product of its digits is 448084224, while the sum is 72.

The spelling of 77679689472 in words is "seventy-seven billion, six hundred seventy-nine million, six hundred eighty-nine thousand, four hundred seventy-two".