77289075072 has 320 divisors, whose sum is σ = 257056707600. Its totient is φ = 22848307200.

The previous prime is 77289075049. The next prime is 77289075079. The reversal of 77289075072 is 27057098277.

It is a super-2 number, since 2×77289075072² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77289075079) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4667704 + ... + 4684232.

Almost surely, 2^77289075072 is an apocalyptic number.

77289075072 is a gapful number since it is divisible by the number (72) 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 77289075072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128528353800).

77289075072 is an abundant number, since it is smaller than the sum of its proper divisors (179767632528).

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

77289075072 is a wasteful number, since it uses less digits than its factorization.

77289075072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16607 (or 16586 counting only the distinct ones).

The product of its (nonzero) digits is 3457440, while the sum is 54.

It can be divided in two parts, 772 and 89075072, that added together give a square (89075844 = 9438²).

The spelling of 77289075072 in words is "seventy-seven billion, two hundred eighty-nine million, seventy-five thousand, seventy-two".