769950720 has 792 divisors, whose sum is σ = 3494769408. Its totient is φ = 154828800.

The previous prime is 769950683. The next prime is 769950739. The reversal of 769950720 is 27059967.

It is a tau number, because it is divible by the number of its divisors (792).

It is a super-2 number, since 2×769950720² = 1185648222457036800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24837105 + ... + 24837135.

Almost surely, 2^769950720 is an apocalyptic number.

769950720 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 769950720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1747384704).

769950720 is an abundant number, since it is smaller than the sum of its proper divisors (2724818688).

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

769950720 is a wasteful number, since it uses less digits than its factorization.

769950720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The square root of 769950720 is about 27747.9858728521. The cubic root of 769950720 is about 916.5460916154.

The spelling of 769950720 in words is "seven hundred sixty-nine million, nine hundred fifty thousand, seven hundred twenty".