761199660 has 288 divisors, whose sum is σ = 2705472000. Its totient is φ = 177106176.

The previous prime is 761199653. The next prime is 761199661. The reversal of 761199660 is 66991167.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (761199661) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1733721 + ... + 1734159.

It is an arithmetic number, because the mean of its divisors is an integer number (9394000).

Almost surely, 2^761199660 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 761199660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1352736000).

761199660 is an abundant number, since it is smaller than the sum of its proper divisors (1944272340).

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

761199660 is a wasteful number, since it uses less digits than its factorization.

761199660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 761199660 is about 27589.8470456072. The cubic root of 761199660 is about 913.0604441036.

The spelling of 761199660 in words is "seven hundred sixty-one million, one hundred ninety-nine thousand, six hundred sixty".