77466800 has 60 divisors (see below), whose sum is σ = 195928680. Its totient is φ = 29352960.

The previous prime is 77466749. The next prime is 77466803. The reversal of 77466800 is 866477.

It is a super-2 number, since 2×77466800² = 12002210204480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (77466803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2504 + ... + 12696.

It is an arithmetic number, because the mean of its divisors is an integer number (3265478).

Almost surely, 2^77466800 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 77466800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97964340).

77466800 is an abundant number, since it is smaller than the sum of its proper divisors (118461880).

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

77466800 is a wasteful number, since it uses less digits than its factorization.

77466800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10230 (or 10219 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 38.

The square root of 77466800 is about 8801.5225955513. The cubic root of 77466800 is about 426.2900593867.

The spelling of 77466800 in words is "seventy-seven million, four hundred sixty-six thousand, eight hundred".