77233932288 has 324 divisors, whose sum is σ = 235835468505. Its totient is φ = 24348622848.

The previous prime is 77233932287. The next prime is 77233932289. The reversal of 77233932288 is 88223933277.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

77233932288 is a `hidden beast` number, since 7 + 7 + 23 + 393 + 228 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (77233932287) and next prime (77233932289).

It can be written as a sum of positive squares in 2 ways, for example, as 69038613504 + 8195318784 = 262752^2 + 90528^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=196512.

Its product of digits (6096384) is a multiple of the sum of its prime factors (252).

It is not an unprimeable number, because it can be changed into a prime (77233932283) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 867796948 + ... + 867797036.

Almost surely, 2^77233932288 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 77233932288

77233932288 is an abundant number, since it is smaller than the sum of its proper divisors (158601536217).

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

77233932288 is an equidigital number, since it uses as much as digits as its factorization.

77233932288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 117 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 54.

The spelling of 77233932288 in words is "seventy-seven billion, two hundred thirty-three million, nine hundred thirty-two thousand, two hundred eighty-eight".