78310290240 has 896 divisors, whose sum is σ = 343670046720. Its totient is φ = 16345276416.

The previous prime is 78310290229. The next prime is 78310290241. The reversal of 78310290240 is 4209201387.

It is a super-2 number, since 2×78310290240² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 78310290195 and 78310290204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78310290241) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 80982237 + ... + 80983203.

It is an arithmetic number, because the mean of its divisors is an integer number (383560320).

Almost surely, 2^78310290240 is an apocalyptic number.

78310290240 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 78310290240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171835023360).

78310290240 is an abundant number, since it is smaller than the sum of its proper divisors (265359756480).

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

78310290240 is a wasteful number, since it uses less digits than its factorization.

78310290240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 78310290240 in words is "seventy-eight billion, three hundred ten million, two hundred ninety thousand, two hundred forty".