78262872576 has 320 divisors, whose sum is σ = 247484160000. Its totient is φ = 21503655936.

The previous prime is 78262872563. The next prime is 78262872587. The reversal of 78262872576 is 67527826287.

It is a super-2 number, since 2×78262872576² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 155591941 + ... + 155592443.

It is an arithmetic number, because the mean of its divisors is an integer number (773388000).

Almost surely, 2^78262872576 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 78262872576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123742080000).

78262872576 is an abundant number, since it is smaller than the sum of its proper divisors (169221287424).

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

78262872576 is a wasteful number, since it uses less digits than its factorization.

78262872576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1059 (or 1043 counting only the distinct ones).

The product of its digits is 31610880, while the sum is 60.

The spelling of 78262872576 in words is "seventy-eight billion, two hundred sixty-two million, eight hundred seventy-two thousand, five hundred seventy-six".