760061952 has 252 divisors, whose sum is σ = 2416459734. Its totient is φ = 230031360.

The previous prime is 760061941. The next prime is 760061983. The reversal of 760061952 is 259160067.

It can be written as a sum of positive squares in 3 ways, for example, as 165482496 + 594579456 = 12864^2 + 24384^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12460002 + ... + 12460062.

Almost surely, 2^760061952 is an apocalyptic number.

760061952 is a gapful number since it is divisible by the number (72) 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 760061952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1208229867).

760061952 is an abundant number, since it is smaller than the sum of its proper divisors (1656397782).

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

760061952 is a wasteful number, since it uses less digits than its factorization.

760061952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 760061952 is about 27569.2210988994. The cubic root of 760061952 is about 912.6053229777.

The spelling of 760061952 in words is "seven hundred sixty million, sixty-one thousand, nine hundred fifty-two".