78265333440 has 336 divisors, whose sum is σ = 311996206080. Its totient is φ = 17636935680.

The previous prime is 78265333439. The next prime is 78265333453. The reversal of 78265333440 is 4433356287.

78265333440 is a `hidden beast` number, since 7 + 82 + 6 + 533 + 34 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×78265333440² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1404021 + ... + 1458699.

Almost surely, 2^78265333440 is an apocalyptic number.

78265333440 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 78265333440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155998103040).

78265333440 is an abundant number, since it is smaller than the sum of its proper divisors (233730872640).

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

78265333440 is a wasteful number, since it uses less digits than its factorization.

78265333440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54780 (or 54767 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 78265333440 in words is "seventy-eight billion, two hundred sixty-five million, three hundred thirty-three thousand, four hundred forty".