77864953600 has 432 divisors, whose sum is σ = 231258323520. Its totient is φ = 25391923200.

The previous prime is 77864953567. The next prime is 77864953609. The reversal of 77864953600 is 635946877.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77864953609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94841190 + ... + 94842010.

Almost surely, 2^77864953600 is an apocalyptic number.

77864953600 is a gapful number since it is divisible by the number (70) 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 77864953600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115629161760).

77864953600 is an abundant number, since it is smaller than the sum of its proper divisors (153393369920).

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

77864953600 is a wasteful number, since it uses less digits than its factorization.

77864953600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956 (or 937 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 55.

The spelling of 77864953600 in words is "seventy-seven billion, eight hundred sixty-four million, nine hundred fifty-three thousand, six hundred".