77080712400 has 480 divisors, whose sum is σ = 298771056000. Its totient is φ = 18800087040.

The previous prime is 77080712353. The next prime is 77080712413. The reversal of 77080712400 is 421708077.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5944324 + ... + 5957276.

It is an arithmetic number, because the mean of its divisors is an integer number (622439700).

Almost surely, 2^77080712400 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 77080712400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149385528000).

77080712400 is an abundant number, since it is smaller than the sum of its proper divisors (221690343600).

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

77080712400 is a wasteful number, since it uses less digits than its factorization.

77080712400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13028 (or 13011 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 36.

The spelling of 77080712400 in words is "seventy-seven billion, eighty million, seven hundred twelve thousand, four hundred".