77466009600 has 1152 divisors, whose sum is σ = 338055744000. Its totient is φ = 16562257920.

The previous prime is 77466009583. The next prime is 77466009613. The reversal of 77466009600 is 690066477.

It is a tau number, because it is divible by the number of its divisors (1152).

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 71 ways as a sum of consecutive naturals, for example, 980582361 + ... + 980582439.

Almost surely, 2^77466009600 is an apocalyptic number.

77466009600 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 77466009600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169027872000).

77466009600 is an abundant number, since it is smaller than the sum of its proper divisors (260589734400).

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

77466009600 is a wasteful number, since it uses less digits than its factorization.

77466009600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 77466009600 in words is "seventy-seven billion, four hundred sixty-six million, nine thousand, six hundred".