78629760 has 384 divisors, whose sum is σ = 317921760. Its totient is φ = 17694720.

The previous prime is 78629753. The next prime is 78629767. The reversal of 78629760 is 6792687.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (78629753) and next prime (78629767).

It is a tau number, because it is divible by the number of its divisors (384).

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 not an unprimeable number, because it can be changed into a prime (78629767) 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 47 ways as a sum of consecutive naturals, for example, 1077084 + ... + 1077156.

Almost surely, 2^78629760 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 78629760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158960880).

78629760 is an abundant number, since it is smaller than the sum of its proper divisors (239292000).

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

78629760 is a wasteful number, since it uses less digits than its factorization.

78629760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 78629760 is about 8867.3423301461. The cubic root of 78629760 is about 428.4126802525.

The spelling of 78629760 in words is "seventy-eight million, six hundred twenty-nine thousand, seven hundred sixty".