77609318400 has 576 divisors, whose sum is σ = 294431155200. Its totient is φ = 20017152000.

The previous prime is 77609318389. The next prime is 77609318471. The reversal of 77609318400 is 481390677.

77609318400 is a `hidden beast` number, since 7 + 7 + 609 + 31 + 8 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 47 ways as a sum of consecutive naturals, for example, 42853495 + ... + 42855305.

It is an arithmetic number, because the mean of its divisors is an integer number (511165200).

Almost surely, 2^77609318400 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 77609318400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147215577600).

77609318400 is an abundant number, since it is smaller than the sum of its proper divisors (216821836800).

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

77609318400 is a wasteful number, since it uses less digits than its factorization.

77609318400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1883 (or 1852 counting only the distinct ones).

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

The spelling of 77609318400 in words is "seventy-seven billion, six hundred nine million, three hundred eighteen thousand, four hundred".