78282341760 has 256 divisors, whose sum is σ = 285436016640. Its totient is φ = 17876508672.

The previous prime is 78282341759. The next prime is 78282341789. The reversal of 78282341760 is 6714328287.

It is a super-2 number, since 2×78282341760² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19983322 + ... + 19987238.

It is an arithmetic number, because the mean of its divisors is an integer number (1114984440).

Almost surely, 2^78282341760 is an apocalyptic number.

78282341760 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 78282341760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142718008320).

78282341760 is an abundant number, since it is smaller than the sum of its proper divisors (207153674880).

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

78282341760 is a wasteful number, since it uses less digits than its factorization.

78282341760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5433 (or 5421 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 48.

The spelling of 78282341760 in words is "seventy-eight billion, two hundred eighty-two million, three hundred forty-one thousand, seven hundred sixty".