77510014272 has 42 divisors (see below), whose sum is σ = 222168462698. Its totient is φ = 25836671232.

The previous prime is 77510014243. The next prime is 77510014279. The reversal of 77510014272 is 27241001577.

77510014272 is a `hidden beast` number, since 77 + 510 + 0 + 1 + 4 + 2 + 72 = 666.

It can be written as a sum of positive squares in only one way, i.e., 77426401536 + 83612736 = 278256^2 + 9144^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77510014279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 67282423 + ... + 67283574.

Almost surely, 2^77510014272 is an apocalyptic number.

77510014272 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

77510014272 is an abundant number, since it is smaller than the sum of its proper divisors (144658448426).

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

77510014272 is a wasteful number, since it uses less digits than its factorization.

77510014272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134566015 (or 134566002 counting only the distinct ones).

The product of its (nonzero) digits is 27440, while the sum is 36.

The spelling of 77510014272 in words is "seventy-seven billion, five hundred ten million, fourteen thousand, two hundred seventy-two".