761872100 has 72 divisors (see below), whose sum is σ = 1820695968. Its totient is φ = 274412800.

The previous prime is 761872099. The next prime is 761872109. The reversal of 761872100 is 1278167.

It is not an unprimeable number, because it can be changed into a prime (761872109) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 114464 + ... + 120936.

It is an arithmetic number, because the mean of its divisors is an integer number (25287444).

Almost surely, 2^761872100 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 761872100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (910347984).

761872100 is an abundant number, since it is smaller than the sum of its proper divisors (1058823868).

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

761872100 is a wasteful number, since it uses less digits than its factorization.

761872100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6605 (or 6598 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 32.

The square root of 761872100 is about 27602.0307223943. The cubic root of 761872100 is about 913.3292293255.

It can be divided in two parts, 76187 and 2100, that added together give a palindrome (78287).

The spelling of 761872100 in words is "seven hundred sixty-one million, eight hundred seventy-two thousand, one hundred".