77916641400 has 576 divisors, whose sum is σ = 288662774400. Its totient is φ = 18718801920.

The previous prime is 77916641393. The next prime is 77916641437. The reversal of 77916641400 is 414661977.

77916641400 is a `hidden beast` number, since 7 + 79 + 166 + 414 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 208891614 + ... + 208891986.

It is an arithmetic number, because the mean of its divisors is an integer number (501150650).

Almost surely, 2^77916641400 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 77916641400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144331387200).

77916641400 is an abundant number, since it is smaller than the sum of its proper divisors (210746133000).

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

77916641400 is a wasteful number, since it uses less digits than its factorization.

77916641400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 77916641400 in words is "seventy-seven billion, nine hundred sixteen million, six hundred forty-one thousand, four hundred".