77405625528 has 256 divisors, whose sum is σ = 243503539200. Its totient is φ = 19919831040.

The previous prime is 77405625509. The next prime is 77405625533. The reversal of 77405625528 is 82552650477.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 134151576 + ... + 134152152.

It is an arithmetic number, because the mean of its divisors is an integer number (951185700).

Almost surely, 2^77405625528 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 77405625528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121751769600).

77405625528 is an abundant number, since it is smaller than the sum of its proper divisors (166097913672).

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

77405625528 is a wasteful number, since it uses less digits than its factorization.

77405625528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1150 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 4704000, while the sum is 51.

The spelling of 77405625528 in words is "seventy-seven billion, four hundred five million, six hundred twenty-five thousand, five hundred twenty-eight".