761705952 has 96 divisors (see below), whose sum is σ = 2306304000. Its totient is φ = 215612928.

The previous prime is 761705951. The next prime is 761705977. The reversal of 761705952 is 259507167.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (761705951) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68049 + ... + 78447.

It is an arithmetic number, because the mean of its divisors is an integer number (24024000).

Almost surely, 2^761705952 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 761705952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1153152000).

761705952 is an abundant number, since it is smaller than the sum of its proper divisors (1544598048).

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

761705952 is a wasteful number, since it uses less digits than its factorization.

761705952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10528 (or 10520 counting only the distinct ones).

The product of its (nonzero) digits is 132300, while the sum is 42.

The square root of 761705952 is about 27599.0208521969. The cubic root of 761705952 is about 913.2628319791.

The spelling of 761705952 in words is "seven hundred sixty-one million, seven hundred five thousand, nine hundred fifty-two".