77681880 has 192 divisors, whose sum is σ = 273218400. Its totient is φ = 19077120.

The previous prime is 77681867. The next prime is 77681909. The reversal of 77681880 is 8818677.

77681880 is a nontrivial binomial coefficient, being equal to C(12465, 2).

It is a super-3 number, since 3×77681880³ (a number of 25 digits) contains 333 as substring.

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 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, 280302 + ... + 280578.

Almost surely, 2^77681880 is an apocalyptic number.

77681880 is the 12464-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77681880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136609200).

77681880 is an abundant number, since it is smaller than the sum of its proper divisors (195536520).

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

77681880 is a wasteful number, since it uses less digits than its factorization.

77681880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 45.

The square root of 77681880 is about 8813.7324670085. The cubic root of 77681880 is about 426.6842142306.

The spelling of 77681880 in words is "seventy-seven million, six hundred eighty-one thousand, eight hundred eighty".