77669416 has 96 divisors (see below), whose sum is σ = 174283200. Its totient is φ = 32313600.

The previous prime is 77669407. The next prime is 77669419. The reversal of 77669416 is 61496677.

77669416 is a nontrivial binomial coefficient, being equal to C(12464, 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77669419) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 754021 + ... + 754123.

It is an arithmetic number, because the mean of its divisors is an integer number (1815450).

Almost surely, 2^77669416 is an apocalyptic number.

77669416 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

77669416 is the 12463-rd triangular number and also the 6232-nd hexagonal number.

77669416 is the 4155-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77669416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87141600).

77669416 is an abundant number, since it is smaller than the sum of its proper divisors (96613784).

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

77669416 is a wasteful number, since it uses less digits than its factorization.

77669416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 176 counting only the distinct ones).

The product of its digits is 381024, while the sum is 46.

The square root of 77669416 is about 8813.0253602268. The cubic root of 77669416 is about 426.6613926214.

The spelling of 77669416 in words is "seventy-seven million, six hundred sixty-nine thousand, four hundred sixteen".