755975377080 has 1536 divisors, whose sum is σ = 3302964864000. Its totient is φ = 152014786560.

The previous prime is 755975377067. The next prime is 755975377081. The reversal of 755975377080 is 80773579557.

755975377080 is a `hidden beast` number, since 7 + 5 + 5 + 97 + 537 + 7 + 0 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 755975376999 and 755975377017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (755975377081) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3301202406 + ... + 3301202634.

It is an arithmetic number, because the mean of its divisors is an integer number (2150367750).

Almost surely, 2^755975377080 is an apocalyptic number.

755975377080 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 755975377080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1651482432000).

755975377080 is an abundant number, since it is smaller than the sum of its proper divisors (2546989486920).

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

755975377080 is a wasteful number, since it uses less digits than its factorization.

755975377080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 64827000, while the sum is 63.

The spelling of 755975377080 in words is "seven hundred fifty-five billion, nine hundred seventy-five million, three hundred seventy-seven thousand, eighty".