77314547520 has 896 divisors, whose sum is σ = 341561318400. Its totient is φ = 16052649984.

The previous prime is 77314547489. The next prime is 77314547551. The reversal of 77314547520 is 2574541377.

77314547520 is a `hidden beast` number, since 7 + 73 + 1 + 4 + 54 + 7 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (77314547489) and next prime (77314547551).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 29815344 + ... + 29817936.

Almost surely, 2^77314547520 is an apocalyptic number.

77314547520 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 77314547520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170780659200).

77314547520 is an abundant number, since it is smaller than the sum of its proper divisors (264246770880).

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

77314547520 is a wasteful number, since it uses less digits than its factorization.

77314547520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2672 (or 2656 counting only the distinct ones).

The product of its (nonzero) digits is 823200, while the sum is 45.

The spelling of 77314547520 in words is "seventy-seven billion, three hundred fourteen million, five hundred forty-seven thousand, five hundred twenty".