761484178312 has 384 divisors, whose sum is σ = 1863596851200. Its totient is φ = 288598464000.

The previous prime is 761484178283. The next prime is 761484178327. The reversal of 761484178312 is 213871484167.

It is a happy number.

It is a super-2 number, since 2×761484178312² (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a self number, because there is not a number n which added to its sum of digits gives 761484178312.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 526249573 + ... + 526251019.

It is an arithmetic number, because the mean of its divisors is an integer number (4853116800).

Almost surely, 2^761484178312 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 761484178312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931798425600).

761484178312 is an abundant number, since it is smaller than the sum of its proper divisors (1102112672888).

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

761484178312 is a wasteful number, since it uses less digits than its factorization.

761484178312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1609 (or 1594 counting only the distinct ones).

The product of its digits is 1806336, while the sum is 52.

The spelling of 761484178312 in words is "seven hundred sixty-one billion, four hundred eighty-four million, one hundred seventy-eight thousand, three hundred twelve".