761084640 has 192 divisors, whose sum is σ = 2729401920. Its totient is φ = 197959680.

The previous prime is 761084633. The next prime is 761084647. The reversal of 761084640 is 46480167.

761084640 is a `hidden beast` number, since 7 + 6 + 1 + 0 + 8 + 4 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (761084633) and next prime (761084647).

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

It is a junction number, because it is equal to n+sod(n) for n = 761084595 and 761084604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (761084647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174972 + ... + 179268.

It is an arithmetic number, because the mean of its divisors is an integer number (14215635).

Almost surely, 2^761084640 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 761084640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1364700960).

761084640 is an abundant number, since it is smaller than the sum of its proper divisors (1968317280).

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

761084640 is a wasteful number, since it uses less digits than its factorization.

761084640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4362 (or 4348 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 761084640 is about 27587.7625044149. The cubic root of 761084640 is about 913.0144528839.

The spelling of 761084640 in words is "seven hundred sixty-one million, eighty-four thousand, six hundred forty".