769982976 has 320 divisors, whose sum is σ = 2664710400. Its totient is φ = 214990848.

The previous prime is 769982963. The next prime is 769982977. The reversal of 769982976 is 679289967.

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (20575296) is a multiple of the sum of its prime factors (216).

It is not an unprimeable number, because it can be changed into a prime (769982977) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7064010 + ... + 7064118.

It is an arithmetic number, because the mean of its divisors is an integer number (8327220).

Almost surely, 2^769982976 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 769982976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1332355200).

769982976 is an abundant number, since it is smaller than the sum of its proper divisors (1894727424).

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

769982976 is a wasteful number, since it uses less digits than its factorization.

769982976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 194 counting only the distinct ones).

The product of its digits is 20575296, while the sum is 63.

The square root of 769982976 is about 27748.5670981404. The cubic root of 769982976 is about 916.5588905722.

The spelling of 769982976 in words is "seven hundred sixty-nine million, nine hundred eighty-two thousand, nine hundred seventy-six".