76265280000 has 1600 divisors, whose sum is σ = 350776715520. Its totient is φ = 15925248000.

The previous prime is 76265279977. The next prime is 76265280001. The reversal of 76265280000 is 8256267.

76265280000 is a `hidden beast` number, since 7 + 626 + 5 + 28 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1600).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (76265280001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 786239952 + ... + 786240048.

Almost surely, 2^76265280000 is an apocalyptic number.

76265280000 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 76265280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175388357760).

76265280000 is an abundant number, since it is smaller than the sum of its proper divisors (274511435520).

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

76265280000 is an equidigital number, since it uses as much as digits as its factorization.

76265280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 76265280000 in words is "seventy-six billion, two hundred sixty-five million, two hundred eighty thousand".