77445958900 has 72 divisors (see below), whose sum is σ = 178296366080. Its totient is φ = 29116765440.

The previous prime is 77445958841. The next prime is 77445958901. The reversal of 77445958900 is 985954477.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77445958901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80824 + ... + 401776.

Almost surely, 2^77445958900 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 77445958900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89148183040).

77445958900 is an abundant number, since it is smaller than the sum of its proper divisors (100850407180).

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

77445958900 is a wasteful number, since it uses less digits than its factorization.

77445958900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321113 (or 321106 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 58.

The spelling of 77445958900 in words is "seventy-seven billion, four hundred forty-five million, nine hundred fifty-eight thousand, nine hundred".