77272100597760 has 624 divisors, whose sum is σ = 261341852037120. Its totient is φ = 19491176448000.

The previous prime is 77272100597711. The next prime is 77272100597761. The reversal of 77272100597760 is 6779500127277.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 77272100597694 and 77272100597703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77272100597761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16657057521 + ... + 16657062159.

Almost surely, 2^{77272100597760} 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 77272100597760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130670926018560).

77272100597760 is an abundant number, since it is smaller than the sum of its proper divisors (184069751439360).

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

77272100597760 is a wasteful number, since it uses less digits than its factorization.

77272100597760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5460 (or 5419 counting only the distinct ones).

The product of its (nonzero) digits is 18151560, while the sum is 60.

The spelling of 77272100597760 in words is "seventy-seven trillion, two hundred seventy-two billion, one hundred million, five hundred ninety-seven thousand, seven hundred sixty".