83400755760 has 1200 divisors, whose sum is σ = 358785250560. Its totient is φ = 17871114240.

The previous prime is 83400755681. The next prime is 83400755773. The reversal of 83400755760 is 6755700438.

83400755760 is a `hidden beast` number, since 8 + 3 + 4 + 0 + 0 + 75 + 576 + 0 = 666.

It is a super-2 number, since 2×83400755760² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 364195326 + ... + 364195554.

Almost surely, 2^83400755760 is an apocalyptic number.

83400755760 is a gapful number since it is divisible by the number (80) 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 83400755760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179392625280).

83400755760 is an abundant number, since it is smaller than the sum of its proper divisors (275384494800).

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

83400755760 is a wasteful number, since it uses less digits than its factorization.

83400755760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

It can be divided in two parts, 83400 and 755760, that added together give a triangular number (839160 = T₁₂₉₅).

The spelling of 83400755760 in words is "eighty-three billion, four hundred million, seven hundred fifty-five thousand, seven hundred sixty".