77346416 has 60 divisors (see below), whose sum is σ = 180850032. Its totient is φ = 31387392.

The previous prime is 77346407. The next prime is 77346419. The reversal of 77346416 is 61464377.

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

It is a self number, because there is not a number n which added to its sum of digits gives 77346416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77346419) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39476 + ... + 41388.

Almost surely, 2^77346416 is an apocalyptic number.

77346416 is a gapful number since it is divisible by the number (76) 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 77346416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90425016).

77346416 is an abundant number, since it is smaller than the sum of its proper divisors (103503616).

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

77346416 is a wasteful number, since it uses less digits than its factorization.

77346416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1966 (or 1941 counting only the distinct ones).

The product of its digits is 84672, while the sum is 38.

The square root of 77346416 is about 8794.6811198588. The cubic root of 77346416 is about 426.0691255647.

The spelling of 77346416 in words is "seventy-seven million, three hundred forty-six thousand, four hundred sixteen".