769198080 has 384 divisors, whose sum is σ = 2909088000. Its totient is φ = 173408256.

The previous prime is 769198037. The next prime is 769198081. The reversal of 769198080 is 80891967.

769198080 = 3210² + 3211² + ... + 3282².

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (769198081) 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, 10536924 + ... + 10536996.

It is an arithmetic number, because the mean of its divisors is an integer number (7575750).

Almost surely, 2^769198080 is an apocalyptic number.

769198080 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 769198080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1454544000).

769198080 is an abundant number, since it is smaller than the sum of its proper divisors (2139889920).

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

769198080 is an equidigital number, since it uses as much as digits as its factorization.

769198080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 48.

The square root of 769198080 is about 27734.4204915120. The cubic root of 769198080 is about 916.2473477574.

The spelling of 769198080 in words is "seven hundred sixty-nine million, one hundred ninety-eight thousand, eighty".