77157046751440 has 80 divisors (see below), whose sum is σ = 179675614823760. Its totient is φ = 30813730795520.

The previous prime is 77157046751437. The next prime is 77157046751441. The reversal of 77157046751440 is 4415764075177.

It can be written as a sum of positive squares in 8 ways, for example, as 12663747835456 + 64493298915984 = 3558616^2 + 8030772^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77157046751441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 183400530 + ... + 183820750.

It is an arithmetic number, because the mean of its divisors is an integer number (2245945185297).

Almost surely, 2^{77157046751440} is an apocalyptic number.

It is an amenable number.

77157046751440 is an abundant number, since it is smaller than the sum of its proper divisors (102518568072320).

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

77157046751440 is a wasteful number, since it uses less digits than its factorization.

77157046751440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423880 (or 423874 counting only the distinct ones).

The product of its (nonzero) digits is 23049600, while the sum is 58.

The spelling of 77157046751440 in words is "seventy-seven trillion, one hundred fifty-seven billion, forty-six million, seven hundred fifty-one thousand, four hundred forty".