770100 has 72 divisors (see below), whose sum is σ = 2374848. Its totient is φ = 192000.

The previous prime is 770069. The next prime is 770101. The reversal of 770100 is 1077.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 770100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (770101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5025 + ... + 5175.

It is an arithmetic number, because the mean of its divisors is an integer number (32984).

2⁷⁷⁰¹⁰⁰ 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 770100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1187424).

770100 is an abundant number, since it is smaller than the sum of its proper divisors (1604748).

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

770100 is a wasteful number, since it uses less digits than its factorization.

770100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 49, while the sum is 15.

The square root of 770100 is about 877.5534171776. The cubic root of 770100 is about 91.6605321882.

Adding to 770100 its reverse (1077), we get a palindrome (771177).

It can be divided in two parts, 7 and 70100, that added together give a palindrome (70107).

The spelling of 770100 in words is "seven hundred seventy thousand, one hundred", and thus it is an iban number.