77525744240 has 320 divisors, whose sum is σ = 216277585920. Its totient is φ = 25296261120.

The previous prime is 77525744227. The next prime is 77525744243. The reversal of 77525744240 is 4244752577.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77525744243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 175001459 + ... + 175001901.

It is an arithmetic number, because the mean of its divisors is an integer number (675867456).

Almost surely, 2^77525744240 is an apocalyptic number.

77525744240 is a gapful number since it is divisible by the number (70) 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 77525744240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108138792960).

77525744240 is an abundant number, since it is smaller than the sum of its proper divisors (138751841680).

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

77525744240 is a wasteful number, since it uses less digits than its factorization.

77525744240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 2195200, while the sum is 47.

The spelling of 77525744240 in words is "seventy-seven billion, five hundred twenty-five million, seven hundred forty-four thousand, two hundred forty".