761230517040 has 480 divisors, whose sum is σ = 2996271083520. Its totient is φ = 169571211264.

The previous prime is 761230516993. The next prime is 761230517077. The reversal of 761230517040 is 40715032167.

It is a happy number.

761230517040 is a `hidden beast` number, since 7 + 612 + 30 + 5 + 1 + 7 + 0 + 4 + 0 = 666.

It is a super-3 number, since 3×761230517040³ (a number of 37 digits) contains 333 as substring.

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 = 761230516986 and 761230517004.

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, 103805214 + ... + 103812546.

It is an arithmetic number, because the mean of its divisors is an integer number (6242231424).

Almost surely, 2^761230517040 is an apocalyptic number.

761230517040 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 761230517040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1498135541760).

761230517040 is an abundant number, since it is smaller than the sum of its proper divisors (2235040566480).

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

761230517040 is a wasteful number, since it uses less digits than its factorization.

761230517040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7881 (or 7872 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 761230517040 in words is "seven hundred sixty-one billion, two hundred thirty million, five hundred seventeen thousand, forty".