77395046400 has 1560 divisors, whose sum is σ = 346080103424. Its totient is φ = 16721510400.

The previous prime is 77395046389. The next prime is 77395046401. The reversal of 77395046400 is 464059377.

77395046400 is a `hidden beast` number, since 77 + 39 + 504 + 6 + 40 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (77395046401) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1799884779 + ... + 1799884821.

Almost surely, 2^77395046400 is an apocalyptic number.

77395046400 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 77395046400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173040051712).

77395046400 is an abundant number, since it is smaller than the sum of its proper divisors (268685057024).

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

77395046400 is a wasteful number, since it uses less digits than its factorization.

77395046400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 77395046400 in words is "seventy-seven billion, three hundred ninety-five million, forty-six thousand, four hundred".