761124228480 has 4608 divisors, whose sum is σ = 4008590208000. Its totient is φ = 134886850560.

The previous prime is 761124228467. The next prime is 761124228523. The reversal of 761124228480 is 84822421167.

761124228480 is a `hidden beast` number, since 7 + 61 + 12 + 422 + 84 + 80 = 666.

It is a super-3 number, since 3×761124228480³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 33092357749 + ... + 33092357771.

It is an arithmetic number, because the mean of its divisors is an integer number (869919750).

Almost surely, 2^761124228480 is an apocalyptic number.

761124228480 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 761124228480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2004295104000).

761124228480 is an abundant number, since it is smaller than the sum of its proper divisors (3247465979520).

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

761124228480 is a wasteful number, since it uses less digits than its factorization.

761124228480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 761124228480 in words is "seven hundred sixty-one billion, one hundred twenty-four million, two hundred twenty-eight thousand, four hundred eighty".