77398416 has 120 divisors (see below), whose sum is σ = 238047264. Its totient is φ = 24261120.

The previous prime is 77398379. The next prime is 77398417. The reversal of 77398416 is 61489377.

It is a super-4 number, since 4×77398416⁴ (a number of 33 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (77398417) 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, 65511 + ... + 66681.

Almost surely, 2^77398416 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 77398416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119023632).

77398416 is an abundant number, since it is smaller than the sum of its proper divisors (160648848).

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

77398416 is a wasteful number, since it uses less digits than its factorization.

77398416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1211 (or 1193 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 77398416 is about 8797.6369554557. The cubic root of 77398416 is about 426.1645862745.

The spelling of 77398416 in words is "seventy-seven million, three hundred ninety-eight thousand, four hundred sixteen".