78376361616 has 800 divisors, whose sum is σ = 285917116800. Its totient is φ = 20483850240.

The previous prime is 78376361561. The next prime is 78376361629. The reversal of 78376361616 is 61616367387.

It is a happy number.

78376361616 is a `hidden beast` number, since 7 + 8 + 3 + 7 + 6 + 3 + 616 + 16 = 666.

It is a super-2 number, since 2×78376361616² (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 a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 808003680 + ... + 808003776.

It is an arithmetic number, because the mean of its divisors is an integer number (357396396).

Almost surely, 2^78376361616 is an apocalyptic number.

78376361616 is a gapful number since it is divisible by the number (76) 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 78376361616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142958558400).

78376361616 is an abundant number, since it is smaller than the sum of its proper divisors (207540755184).

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

78376361616 is a wasteful number, since it uses less digits than its factorization.

78376361616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 169 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 54.

The spelling of 78376361616 in words is "seventy-eight billion, three hundred seventy-six million, three hundred sixty-one thousand, six hundred sixteen".