76885715970 has 320 divisors, whose sum is σ = 249763979520. Its totient is φ = 16578183168.

The previous prime is 76885715957. The next prime is 76885715971. The reversal of 76885715970 is 7951758867.

76885715970 is a `hidden beast` number, since 7 + 6 + 8 + 8 + 571 + 59 + 7 + 0 = 666.

It is a super-2 number, since 2×76885715970² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 76885715898 and 76885715907.

It is not an unprimeable number, because it can be changed into a prime (76885715971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 27685222 + ... + 27687998.

It is an arithmetic number, because the mean of its divisors is an integer number (780512436).

Almost surely, 2^76885715970 is an apocalyptic number.

76885715970 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 76885715970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124881989760).

76885715970 is an abundant number, since it is smaller than the sum of its proper divisors (172878263550).

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

76885715970 is a wasteful number, since it uses less digits than its factorization.

76885715970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3079 (or 3070 counting only the distinct ones).

The product of its (nonzero) digits is 29635200, while the sum is 63.

The spelling of 76885715970 in words is "seventy-six billion, eight hundred eighty-five million, seven hundred fifteen thousand, nine hundred seventy".