78971760 has 200 divisors, whose sum is σ = 313643616. Its totient is φ = 18040320.

The previous prime is 78971741. The next prime is 78971773. The reversal of 78971760 is 6717987.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 44490 + ... + 46230.

Almost surely, 2^78971760 is an apocalyptic number.

78971760 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78971760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156821808).

78971760 is an abundant number, since it is smaller than the sum of its proper divisors (234671856).

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

78971760 is a wasteful number, since it uses less digits than its factorization.

78971760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1773 (or 1758 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 45.

The square root of 78971760 is about 8886.6056512034. The cubic root of 78971760 is about 429.0329086203.

The spelling of 78971760 in words is "seventy-eight million, nine hundred seventy-one thousand, seven hundred sixty".