77669399808 has 1296 divisors, whose sum is σ = 325191537216. Its totient is φ = 17464688640.

The previous prime is 77669399767. The next prime is 77669399827. The reversal of 77669399808 is 80899396677.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 274450035 + ... + 274450317.

It is an arithmetic number, because the mean of its divisors is an integer number (250919396).

Almost surely, 2^77669399808 is an apocalyptic number.

77669399808 is a gapful number since it is divisible by the number (78) 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 77669399808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162595768608).

77669399808 is an abundant number, since it is smaller than the sum of its proper divisors (247522137408).

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

77669399808 is a wasteful number, since it uses less digits than its factorization.

77669399808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 246903552, while the sum is 72.

The spelling of 77669399808 in words is "seventy-seven billion, six hundred sixty-nine million, three hundred ninety-nine thousand, eight hundred eight".