78711967620 has 384 divisors, whose sum is σ = 297622080000. Its totient is φ = 17006008320.

The previous prime is 78711967613. The next prime is 78711967627. The reversal of 78711967620 is 2676911787.

78711967620 is a `hidden beast` number, since 7 + 8 + 7 + 1 + 1 + 9 + 6 + 7 + 620 = 666.

It is an interprime number because it is at equal distance from previous prime (78711967613) and next prime (78711967627).

It is a super-2 number, since 2×78711967620² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (78711967627) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 2221806 + ... + 2256954.

It is an arithmetic number, because the mean of its divisors is an integer number (775057500).

Almost surely, 2^78711967620 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 78711967620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148811040000).

78711967620 is an abundant number, since it is smaller than the sum of its proper divisors (218910112380).

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

78711967620 is a wasteful number, since it uses less digits than its factorization.

78711967620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35220 (or 35212 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 54.

The spelling of 78711967620 in words is "seventy-eight billion, seven hundred eleven million, nine hundred sixty-seven thousand, six hundred twenty".