761600 has 108 divisors (see below), whose sum is σ = 2281104. Its totient is φ = 245760.

The previous prime is 761597. The next prime is 761603. The reversal of 761600 is 6167.

It is an interprime number because it is at equal distance from previous prime (761597) and next prime (761603).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 761600.

It is not an unprimeable number, because it can be changed into a prime (761603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44792 + ... + 44808.

2⁷⁶¹⁶⁰⁰ is an apocalyptic number.

761600 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 761600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1140552).

761600 is an abundant number, since it is smaller than the sum of its proper divisors (1519504).

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

761600 is a wasteful number, since it uses less digits than its factorization.

761600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 761600 is about 872.6969691709. The cubic root of 761600 is about 91.3220485581.

Adding to 761600 its reverse (6167), we get a palindrome (767767).

The spelling of 761600 in words is "seven hundred sixty-one thousand, six hundred".