77200416 has 72 divisors (see below), whose sum is σ = 226646784. Its totient is φ = 24900480.

The previous prime is 77200399. The next prime is 77200423. The reversal of 77200416 is 61400277.

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 77200416.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4605 + ... + 13251.

It is an arithmetic number, because the mean of its divisors is an integer number (3147872).

Almost surely, 2^77200416 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 77200416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113323392).

77200416 is an abundant number, since it is smaller than the sum of its proper divisors (149446368).

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

77200416 is a wasteful number, since it uses less digits than its factorization.

77200416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8694 (or 8683 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 77200416 is about 8786.3767276392. The cubic root of 77200416 is about 425.8008723520.

The spelling of 77200416 in words is "seventy-seven million, two hundred thousand, four hundred sixteen".