78161760 has 240 divisors, whose sum is σ = 285039216. Its totient is φ = 20155392.

The previous prime is 78161737. The next prime is 78161789. The reversal of 78161760 is 6716187.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×78161760² = 12218521452595200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 479439 + ... + 479601.

Almost surely, 2^78161760 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 78161760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142519608).

78161760 is an abundant number, since it is smaller than the sum of its proper divisors (206877456).

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

78161760 is a wasteful number, since it uses less digits than its factorization.

78161760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 78161760 is about 8840.9139799005. The cubic root of 78161760 is about 427.5610254526.

The spelling of 78161760 in words is "seventy-eight million, one hundred sixty-one thousand, seven hundred sixty".