78902562816 has 1053 divisors, whose sum is σ = 307561344363. Its totient is φ = 19415531520.

The previous prime is 78902562811. The next prime is 78902562919. The reversal of 78902562816 is 61826520987.

The square root of 78902562816 is 280896.

It is a perfect power (a square), and thus also a powerful number.

78902562816 is a `hidden beast` number, since 7 + 8 + 9 + 0 + 2 + 5 + 628 + 1 + 6 = 666.

It is a super-2 number, since 2×78902562816² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (78902562811) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 4152766455 + ... + 4152766473.

Almost surely, 2^78902562816 is an apocalyptic number.

78902562816 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

78902562816 is the 280896-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78902562816

78902562816 is an abundant number, since it is smaller than the sum of its proper divisors (228658781547).

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

78902562816 is a wasteful number, since it uses less digits than its factorization.

78902562816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 78902562816 in words is "seventy-eight billion, nine hundred two million, five hundred sixty-two thousand, eight hundred sixteen".