77700387072 has 576 divisors, whose sum is σ = 268340244480. Its totient is φ = 19375718400.

The previous prime is 77700387071. The next prime is 77700387137. The reversal of 77700387072 is 27078300777.

It is a super-3 number, since 3×77700387072³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (77700387071) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 176993829 + ... + 176994267.

It is an arithmetic number, because the mean of its divisors is an integer number (465868480).

Almost surely, 2^77700387072 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 77700387072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134170122240).

77700387072 is an abundant number, since it is smaller than the sum of its proper divisors (190639857408).

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

77700387072 is a wasteful number, since it uses less digits than its factorization.

77700387072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 806736, while the sum is 48.

The spelling of 77700387072 in words is "seventy-seven billion, seven hundred million, three hundred eighty-seven thousand, seventy-two".