76769280000 has 1350 divisors, whose sum is σ = 341333118126. Its totient is φ = 16515072000.

The previous prime is 76769279941. The next prime is 76769280011. The reversal of 76769280000 is 8296767.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 19537330176 + 57231949824 = 139776^2 + 239232^2 .

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 89 ways as a sum of consecutive naturals, for example, 4515839992 + ... + 4515840008.

Almost surely, 2^76769280000 is an apocalyptic number.

76769280000 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 76769280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170666559063).

76769280000 is an abundant number, since it is smaller than the sum of its proper divisors (264563838126).

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

76769280000 is an equidigital number, since it uses as much as digits as its factorization.

76769280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 76769280000 in words is "seventy-six billion, seven hundred sixty-nine million, two hundred eighty thousand".