688770810 has 384 divisors, whose sum is σ = 2426135040. Its totient is φ = 135364608.

The previous prime is 688770773. The next prime is 688770829. The reversal of 688770810 is 18077886.

It is a super-2 number, since 2×688770810² = 948810457416112200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 7100682 + ... + 7100778.

It is an arithmetic number, because the mean of its divisors is an integer number (6318060).

Almost surely, 2^688770810 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 688770810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1213067520).

688770810 is an abundant number, since it is smaller than the sum of its proper divisors (1737364230).

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

688770810 is a wasteful number, since it uses less digits than its factorization.

688770810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 45.

The square root of 688770810 is about 26244.4434118920. The cubic root of 688770810 is about 883.1305554079.

The spelling of 688770810 in words is "six hundred eighty-eight million, seven hundred seventy thousand, eight hundred ten".