78747760 has 160 divisors (see below), whose sum is σ = 233735040. Its totient is φ = 23998464.

The previous prime is 78747743. The next prime is 78747763. The reversal of 78747760 is 6774787.

78747760 = T₃₃₅ + T₃₃₆ + ... + T₇₉₈.

It is a self number, because there is not a number n which added to its sum of digits gives 78747760.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78747763) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 210934 + ... + 211306.

It is an arithmetic number, because the mean of its divisors is an integer number (1460844).

Almost surely, 2^78747760 is an apocalyptic number.

78747760 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 78747760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116867520).

78747760 is an abundant number, since it is smaller than the sum of its proper divisors (154987280).

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

78747760 is a wasteful number, since it uses less digits than its factorization.

78747760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 460992, while the sum is 46.

The square root of 78747760 is about 8873.9934640499. The cubic root of 78747760 is about 428.6268800208.

It can be divided in two parts, 78747 and 760, that added together give a cube (79507 = 43³).

The spelling of 78747760 in words is "seventy-eight million, seven hundred forty-seven thousand, seven hundred sixty".