77751505152 has 288 divisors, whose sum is σ = 241873551360. Its totient is φ = 24588748800.

The previous prime is 77751505109. The next prime is 77751505157. The reversal of 77751505152 is 25150515777.

77751505152 is a `hidden beast` number, since 77 + 75 + 1 + 505 + 1 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 77751505098 and 77751505107.

It is not an unprimeable number, because it can be changed into a prime (77751505157) 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 31 ways as a sum of consecutive naturals, for example, 20188027 + ... + 20191877.

It is an arithmetic number, because the mean of its divisors is an integer number (839838720).

Almost surely, 2^77751505152 is an apocalyptic number.

77751505152 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 77751505152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120936775680).

77751505152 is an abundant number, since it is smaller than the sum of its proper divisors (164122046208).

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

77751505152 is a wasteful number, since it uses less digits than its factorization.

77751505152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4026 (or 4006 counting only the distinct ones).

The product of its (nonzero) digits is 428750, while the sum is 45.

The spelling of 77751505152 in words is "seventy-seven billion, seven hundred fifty-one million, five hundred five thousand, one hundred fifty-two".