77755385400 has 576 divisors, whose sum is σ = 323902126080. Its totient is φ = 15205478400.

The previous prime is 77755385399. The next prime is 77755385453. The reversal of 77755385400 is 458355777.

It is a Harshad number since it is a multiple of its sum of digits (51).

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, 5490729 + ... + 5504871.

It is an arithmetic number, because the mean of its divisors is an integer number (562330080).

Almost surely, 2^77755385400 is an apocalyptic number.

77755385400 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77755385400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161951063040).

77755385400 is an abundant number, since it is smaller than the sum of its proper divisors (246146740680).

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

77755385400 is a wasteful number, since it uses less digits than its factorization.

77755385400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14204 (or 14188 counting only the distinct ones).

The product of its (nonzero) digits is 4116000, while the sum is 51.

The spelling of 77755385400 in words is "seventy-seven billion, seven hundred fifty-five million, three hundred eighty-five thousand, four hundred".