77265641376 has 1728 divisors, whose sum is σ = 329126353920. Its totient is φ = 16860856320.

The previous prime is 77265641371. The next prime is 77265641381. The reversal of 77265641376 is 67314656277.

It is a happy number.

77265641376 is a `hidden beast` number, since 7 + 7 + 2 + 6 + 564 + 1 + 3 + 76 = 666.

It is an interprime number because it is at equal distance from previous prime (77265641371) and next prime (77265641381).

It is not an unprimeable number, because it can be changed into a prime (77265641371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1153218495 + ... + 1153218561.

It is an arithmetic number, because the mean of its divisors is an integer number (190466640).

Almost surely, 2^77265641376 is an apocalyptic number.

77265641376 is a gapful number since it is divisible by the number (76) 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 77265641376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164563176960).

77265641376 is an abundant number, since it is smaller than the sum of its proper divisors (251860712544).

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

77265641376 is a wasteful number, since it uses less digits than its factorization.

77265641376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 149 counting only the distinct ones).

The product of its digits is 8890560, while the sum is 54.

The spelling of 77265641376 in words is "seventy-seven billion, two hundred sixty-five million, six hundred forty-one thousand, three hundred seventy-six".