760345950 has 192 divisors, whose sum is σ = 2366848512. Its totient is φ = 157248000.

The previous prime is 760345939. The next prime is 760345951. The reversal of 760345950 is 59543067.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 760345899 and 760345908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (760345951) 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, 722925 + ... + 723975.

It is an arithmetic number, because the mean of its divisors is an integer number (12327336).

Almost surely, 2^760345950 is an apocalyptic number.

760345950 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 760345950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1183424256).

760345950 is an abundant number, since it is smaller than the sum of its proper divisors (1606502562).

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

760345950 is a wasteful number, since it uses less digits than its factorization.

760345950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1139 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 39.

The square root of 760345950 is about 27574.3712530313. The cubic root of 760345950 is about 912.7189741574.

The spelling of 760345950 in words is "seven hundred sixty million, three hundred forty-five thousand, nine hundred fifty".