77768406000 has 240 divisors, whose sum is σ = 285916119840. Its totient is φ = 19646668800.

The previous prime is 77768405987. The next prime is 77768406013. The reversal of 77768406000 is 60486777.

It is an interprime number because it is at equal distance from previous prime (77768405987) and next prime (77768406013).

It is a tau number, because it is divible by the number of its divisors (240).

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, 228304 + ... + 455696.

It is an arithmetic number, because the mean of its divisors is an integer number (1191317166).

Almost surely, 2^77768406000 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 77768406000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142958059920).

77768406000 is an abundant number, since it is smaller than the sum of its proper divisors (208147713840).

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

77768406000 is a wasteful number, since it uses less digits than its factorization.

77768406000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227441 (or 227422 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 77768406000 in words is "seventy-seven billion, seven hundred sixty-eight million, four hundred six thousand".