761009340 has 192 divisors, whose sum is σ = 2694150144. Its totient is φ = 156183552.

The previous prime is 761009279. The next prime is 761009393. The reversal of 761009340 is 43900167.

It is a happy number.

761009340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 761009298 and 761009307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 200137 + ... + 203903.

It is an arithmetic number, because the mean of its divisors is an integer number (14032032).

Almost surely, 2^761009340 is an apocalyptic number.

761009340 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 761009340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1347075072).

761009340 is an abundant number, since it is smaller than the sum of its proper divisors (1933140804).

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

761009340 is a wasteful number, since it uses less digits than its factorization.

761009340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3836 (or 3834 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 761009340 is about 27586.3977351158. The cubic root of 761009340 is about 912.9843413596.

The spelling of 761009340 in words is "seven hundred sixty-one million, nine thousand, three hundred forty".