77314824000 has 560 divisors, whose sum is σ = 287785308096. Its totient is φ = 20575296000.

The previous prime is 77314823983. The next prime is 77314824017. The reversal of 77314824000 is 42841377.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (77314823983) and next prime (77314824017).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 157463755 + ... + 157464245.

Almost surely, 2^77314824000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77314824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143892654048).

77314824000 is an abundant number, since it is smaller than the sum of its proper divisors (210470484096).

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

77314824000 is an frugal number, since it uses more digits than its factorization.

77314824000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 77314824000 in words is "seventy-seven billion, three hundred fourteen million, eight hundred twenty-four thousand".