76851807120 has 480 divisors, whose sum is σ = 289731955968. Its totient is φ = 18094080000.

The previous prime is 76851807103. The next prime is 76851807167. The reversal of 76851807120 is 2170815867.

It is a happy number.

76851807120 is a `hidden beast` number, since 7 + 6 + 8 + 518 + 0 + 7 + 120 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 95 ways as a sum of consecutive naturals, for example, 100987540 + ... + 100988300.

Almost surely, 2^76851807120 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 76851807120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144865977984).

76851807120 is an abundant number, since it is smaller than the sum of its proper divisors (212880148848).

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

76851807120 is a wasteful number, since it uses less digits than its factorization.

76851807120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1143 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

The spelling of 76851807120 in words is "seventy-six billion, eight hundred fifty-one million, eight hundred seven thousand, one hundred twenty".