77125234752 has 140 divisors (see below), whose sum is σ = 231844510656. Its totient is φ = 25346200320.

The previous prime is 77125234733. The next prime is 77125234759. The reversal of 77125234752 is 25743252177.

77125234752 is a `hidden beast` number, since 7 + 7 + 1 + 252 + 347 + 52 = 666.

It is a super-2 number, since 2×77125234752² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 77125234698 and 77125234707.

It is not an unprimeable number, because it can be changed into a prime (77125234759) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 263293 + ... + 472835.

Almost surely, 2^77125234752 is an apocalyptic number.

77125234752 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 77125234752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115922255328).

77125234752 is an abundant number, since it is smaller than the sum of its proper divisors (154719275904).

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

77125234752 is a wasteful number, since it uses less digits than its factorization.

77125234752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209638 (or 209619 counting only the distinct ones).

The product of its digits is 823200, while the sum is 45.

The spelling of 77125234752 in words is "seventy-seven billion, one hundred twenty-five million, two hundred thirty-four thousand, seven hundred fifty-two".