77972507814240 has 576 divisors, whose sum is σ = 303453950619456. Its totient is φ = 18061292077056.

The previous prime is 77972507814233. The next prime is 77972507814247. The reversal of 77972507814240 is 4241870527977.

77972507814240 is a `hidden beast` number, since 7 + 7 + 9 + 7 + 2 + 507 + 81 + 4 + 2 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (77972507814233) and next prime (77972507814247).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77972507814247) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2432292292 + ... + 2432324348.

It is an arithmetic number, because the mean of its divisors is an integer number (526829775381).

Almost surely, 2^{77972507814240} 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 77972507814240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151726975309728).

77972507814240 is an abundant number, since it is smaller than the sum of its proper divisors (225481442805216).

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

77972507814240 is a wasteful number, since it uses less digits than its factorization.

77972507814240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39751 (or 39740 counting only the distinct ones).

The product of its (nonzero) digits is 55319040, while the sum is 63.

The spelling of 77972507814240 in words is "seventy-seven trillion, nine hundred seventy-two billion, five hundred seven million, eight hundred fourteen thousand, two hundred forty".