77996685312 has 864 divisors, whose sum is σ = 288363348000. Its totient is φ = 20288765952.

The previous prime is 77996685311. The next prime is 77996685331. The reversal of 77996685312 is 21358669977.

77996685312 is a `hidden beast` number, since 7 + 7 + 9 + 96 + 6 + 8 + 531 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (34292160) is a multiple of the sum of its prime divisors (98).

It is a self number, because there is not a number n which added to its sum of digits gives 77996685312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77996685311) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1068447708 + ... + 1068447780.

It is an arithmetic number, because the mean of its divisors is an integer number (333753875).

Almost surely, 2^77996685312 is an apocalyptic number.

77996685312 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 77996685312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144181674000).

77996685312 is an abundant number, since it is smaller than the sum of its proper divisors (210366662688).

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

77996685312 is a wasteful number, since it uses less digits than its factorization.

77996685312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 98 counting only the distinct ones).

The product of its digits is 34292160, while the sum is 63.

The spelling of 77996685312 in words is "seventy-seven billion, nine hundred ninety-six million, six hundred eighty-five thousand, three hundred twelve".