77466900 has 144 divisors (see below), whose sum is σ = 263344256. Its totient is φ = 17210880.

The previous prime is 77466887. The next prime is 77466911. The reversal of 77466900 is 966477.

It is a super-2 number, since 2×77466900² = 12002241191220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 77202 + ... + 78198.

Almost surely, 2^77466900 is an apocalyptic number.

77466900 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 77466900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131672128).

77466900 is an abundant number, since it is smaller than the sum of its proper divisors (185877356).

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

77466900 is a wasteful number, since it uses less digits than its factorization.

77466900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058 (or 1051 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 39.

The square root of 77466900 is about 8801.5282763847. The cubic root of 77466900 is about 426.2902428157.

The spelling of 77466900 in words is "seventy-seven million, four hundred sixty-six thousand, nine hundred".