78246051840 has 760 divisors, whose sum is σ = 310596007392. Its totient is φ = 18685624320.

The previous prime is 78246051833. The next prime is 78246051941. The reversal of 78246051840 is 4815064287.

78246051840 is a `hidden beast` number, since 7 + 8 + 2 + 460 + 5 + 184 + 0 = 666.

It is a super-2 number, since 2×78246051840² (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 a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 1167851487 + ... + 1167851553.

Almost surely, 2^78246051840 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 78246051840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155298003696).

78246051840 is an abundant number, since it is smaller than the sum of its proper divisors (232349955552).

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

78246051840 is an frugal number, since it uses more digits than its factorization.

78246051840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 78246051840 in words is "seventy-eight billion, two hundred forty-six million, fifty-one thousand, eight hundred forty".