78011760 has 80 divisors (see below), whose sum is σ = 246439584. Its totient is φ = 20407296.

The previous prime is 78011753. The next prime is 78011767. The reversal of 78011760 is 6711087.

It is an interprime number because it is at equal distance from previous prime (78011753) and next prime (78011767).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78011767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9654 + ... + 15786.

Almost surely, 2^78011760 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 78011760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123219792).

78011760 is an abundant number, since it is smaller than the sum of its proper divisors (168427824).

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

78011760 is a wasteful number, since it uses less digits than its factorization.

78011760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6202 (or 6196 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 30.

The square root of 78011760 is about 8832.4266201311. The cubic root of 78011760 is about 427.2873399395.

The spelling of 78011760 in words is "seventy-eight million, eleven thousand, seven hundred sixty".