77466096 has 60 divisors (see below), whose sum is σ = 220376520. Its totient is φ = 25395840.

The previous prime is 77466083. The next prime is 77466101. The reversal of 77466096 is 69066477.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4375 + ... + 13193.

It is an arithmetic number, because the mean of its divisors is an integer number (3672942).

Almost surely, 2^77466096 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 77466096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110188260).

77466096 is an abundant number, since it is smaller than the sum of its proper divisors (142910424).

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

77466096 is a wasteful number, since it uses less digits than its factorization.

77466096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8894 (or 8885 counting only the distinct ones).

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

The square root of 77466096 is about 8801.4826023801. The cubic root of 77466096 is about 426.2887680416.

The spelling of 77466096 in words is "seventy-seven million, four hundred sixty-six thousand, ninety-six".