761305098240 has 768 divisors, whose sum is σ = 2766778560000. Its totient is φ = 198534758400.

The previous prime is 761305098227. The next prime is 761305098247. The reversal of 761305098240 is 42890503167.

761305098240 is a `hidden beast` number, since 7 + 6 + 130 + 509 + 8 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (761305098247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3825653661 + ... + 3825653859.

It is an arithmetic number, because the mean of its divisors is an integer number (3602576250).

It is a 1-persistent number, because it is pandigital, but 2⋅761305098240 = 1522610196480 is not.

Almost surely, 2^761305098240 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 761305098240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1383389280000).

761305098240 is an abundant number, since it is smaller than the sum of its proper divisors (2005473461760).

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

761305098240 is a wasteful number, since it uses less digits than its factorization.

761305098240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 761305098240 in words is "seven hundred sixty-one billion, three hundred five million, ninety-eight thousand, two hundred forty".