77466488400 has 600 divisors, whose sum is σ = 334479970880. Its totient is φ = 16773765120.

The previous prime is 77466488377. The next prime is 77466488447. The reversal of 77466488400 is 488466477.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4300212 + ... + 4318188.

Almost surely, 2^77466488400 is an apocalyptic number.

77466488400 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 77466488400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167239985440).

77466488400 is an abundant number, since it is smaller than the sum of its proper divisors (257013482480).

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

77466488400 is a wasteful number, since it uses less digits than its factorization.

77466488400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18033 (or 18013 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The spelling of 77466488400 in words is "seventy-seven billion, four hundred sixty-six million, four hundred eighty-eight thousand, four hundred".