77416160 has 96 divisors (see below), whose sum is σ = 193596480. Its totient is φ = 29196288.

The previous prime is 77416151. The next prime is 77416169. The reversal of 77416160 is 6161477.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (77416151) and next prime (77416169).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77416169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 401024 + ... + 401216.

It is an arithmetic number, because the mean of its divisors is an integer number (2016630).

Almost surely, 2^77416160 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 77416160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96798240).

77416160 is an abundant number, since it is smaller than the sum of its proper divisors (116180320).

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

77416160 is a wasteful number, since it uses less digits than its factorization.

77416160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 32.

The square root of 77416160 is about 8798.6453502798. The cubic root of 77416160 is about 426.1971506215.

The spelling of 77416160 in words is "seventy-seven million, four hundred sixteen thousand, one hundred sixty".