76621769280 has 336 divisors, whose sum is σ = 306883759104. Its totient is φ = 17182863360.

The previous prime is 76621769251. The next prime is 76621769309. The reversal of 76621769280 is 8296712667.

76621769280 is a `hidden beast` number, since 7 + 6 + 621 + 7 + 6 + 9 + 2 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (76621769251) and next prime (76621769309).

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1032625 + ... + 1104335.

Almost surely, 2^76621769280 is an apocalyptic number.

76621769280 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 76621769280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153441879552).

76621769280 is an abundant number, since it is smaller than the sum of its proper divisors (230261989824).

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

76621769280 is a wasteful number, since it uses less digits than its factorization.

76621769280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71794 (or 71781 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 76621769280 in words is "seventy-six billion, six hundred twenty-one million, seven hundred sixty-nine thousand, two hundred eighty".