7873038810 has 640 divisors, whose sum is σ = 28312187904. Its totient is φ = 1522851840.

The previous prime is 7873038799. The next prime is 7873038919. The reversal of 7873038810 is 188303787.

It is a super-2 number, since 2×7873038810² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 76437219 + ... + 76437321.

Almost surely, 2^7873038810 is an apocalyptic number.

7873038810 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 7873038810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14156093952).

7873038810 is an abundant number, since it is smaller than the sum of its proper divisors (20439149094).

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

7873038810 is a wasteful number, since it uses less digits than its factorization.

7873038810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 7873038810 is about 88730.1460046133. The cubic root of 7873038810 is about 1989.3634328349.

The spelling of 7873038810 in words is "seven billion, eight hundred seventy-three million, thirty-eight thousand, eight hundred ten".