769277952 has 240 divisors, whose sum is σ = 2390680320. Its totient is φ = 244187136.

The previous prime is 769277939. The next prime is 769277953. The reversal of 769277952 is 259772967.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (769277953) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16367593 + ... + 16367639.

It is an arithmetic number, because the mean of its divisors is an integer number (9961168).

Almost surely, 2^769277952 is an apocalyptic number.

769277952 is a gapful number since it is divisible by the number (72) 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 769277952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1195340160).

769277952 is an abundant number, since it is smaller than the sum of its proper divisors (1621402368).

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

769277952 is an equidigital number, since it uses as much as digits as its factorization.

769277952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 89 counting only the distinct ones).

The product of its digits is 3333960, while the sum is 54.

The square root of 769277952 is about 27735.8603976873. The cubic root of 769277952 is about 916.2790604276.

The spelling of 769277952 in words is "seven hundred sixty-nine million, two hundred seventy-seven thousand, nine hundred fifty-two".