761008220 has 72 divisors (see below), whose sum is σ = 1867703040. Its totient is φ = 259701120.

The previous prime is 761008219. The next prime is 761008223. The reversal of 761008220 is 22800167.

It is a self number, because there is not a number n which added to its sum of digits gives 761008220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (761008223) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 222725 + ... + 226115.

It is an arithmetic number, because the mean of its divisors is an integer number (25940320).

Almost surely, 2^761008220 is an apocalyptic number.

761008220 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 761008220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (933851520).

761008220 is an abundant number, since it is smaller than the sum of its proper divisors (1106694820).

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

761008220 is a wasteful number, since it uses less digits than its factorization.

761008220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3643 (or 3634 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 761008220 is about 27586.3774352487. The cubic root of 761008220 is about 912.9838934707.

Adding to 761008220 its reverse (22800167), we get a palindrome (783808387).

The spelling of 761008220 in words is "seven hundred sixty-one million, eight thousand, two hundred twenty".