77767369992 has 384 divisors, whose sum is σ = 250590412800. Its totient is φ = 21556813824.

The previous prime is 77767369969. The next prime is 77767369997. The reversal of 77767369992 is 29996376777.

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

It is a self number, because there is not a number n which added to its sum of digits gives 77767369992.

It is not an unprimeable number, because it can be changed into a prime (77767369997) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58603233 + ... + 58604559.

It is an arithmetic number, because the mean of its divisors is an integer number (652579200).

Almost surely, 2^77767369992 is an apocalyptic number.

77767369992 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 77767369992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125295206400).

77767369992 is an abundant number, since it is smaller than the sum of its proper divisors (172823042808).

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

77767369992 is a wasteful number, since it uses less digits than its factorization.

77767369992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1525 (or 1518 counting only the distinct ones).

The product of its digits is 378071064, while the sum is 72.

The spelling of 77767369992 in words is "seventy-seven billion, seven hundred sixty-seven million, three hundred sixty-nine thousand, nine hundred ninety-two".