76001783040 has 216 divisors, whose sum is σ = 278427102408. Its totient is φ = 19074908160.

The previous prime is 76001783021. The next prime is 76001783087. The reversal of 76001783040 is 4038710067.

76001783040 is a `hidden beast` number, since 7 + 600 + 1 + 7 + 8 + 3 + 0 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 460359936 + 75541423104 = 21456^2 + 274848^2 .

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 = 76001782986 and 76001783004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1800 + ... + 389880.

It is an arithmetic number, because the mean of its divisors is an integer number (1289014363).

Almost surely, 2^76001783040 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 76001783040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139213551204).

76001783040 is an abundant number, since it is smaller than the sum of its proper divisors (202425319368).

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

76001783040 is a wasteful number, since it uses less digits than its factorization.

76001783040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388125 (or 388108 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 76001783040 in words is "seventy-six billion, one million, seven hundred eighty-three thousand, forty".