761881680 has 320 divisors, whose sum is σ = 3074803200. Its totient is φ = 169758720.

The previous prime is 761881669. The next prime is 761881753. The reversal of 761881680 is 86188167.

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

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 619306 + ... + 620534.

It is an arithmetic number, because the mean of its divisors is an integer number (9608760).

Almost surely, 2^761881680 is an apocalyptic number.

761881680 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 761881680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1537401600).

761881680 is an abundant number, since it is smaller than the sum of its proper divisors (2312921520).

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

761881680 is a wasteful number, since it uses less digits than its factorization.

761881680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1299 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 761881680 is about 27602.2042598050. The cubic root of 761881680 is about 913.3330574646. Note that the first 3 decimals are identical.

It can be divided in two parts, 7618 and 81680, that added together give a palindrome (89298).

The spelling of 761881680 in words is "seven hundred sixty-one million, eight hundred eighty-one thousand, six hundred eighty".