78413469120 has 840 divisors, whose sum is σ = 328070205936. Its totient is φ = 17724801024.

The previous prime is 78413469109. The next prime is 78413469139. The reversal of 78413469120 is 2196431487.

78413469120 is a `hidden beast` number, since 78 + 413 + 46 + 9 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a super-2 number, since 2×78413469120² (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 polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 135898272 + ... + 135898848.

Almost surely, 2^78413469120 is an apocalyptic number.

78413469120 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 78413469120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164035102968).

78413469120 is an abundant number, since it is smaller than the sum of its proper divisors (249656736816).

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

78413469120 is a wasteful number, since it uses less digits than its factorization.

78413469120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 78413469120 in words is "seventy-eight billion, four hundred thirteen million, four hundred sixty-nine thousand, one hundred twenty".