77350416 has 160 divisors (see below), whose sum is σ = 239984640. Its totient is φ = 21158400.

The previous prime is 77350411. The next prime is 77350423. The reversal of 77350416 is 61405377.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (77350411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 404881 + ... + 405071.

It is an arithmetic number, because the mean of its divisors is an integer number (1499904).

Almost surely, 2^77350416 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 77350416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119992320).

77350416 is an abundant number, since it is smaller than the sum of its proper divisors (162634224).

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

77350416 is a wasteful number, since it uses less digits than its factorization.

77350416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 33.

The square root of 77350416 is about 8794.9085270968. The cubic root of 77350416 is about 426.0764702150.

The spelling of 77350416 in words is "seventy-seven million, three hundred fifty thousand, four hundred sixteen".