761698728 has 320 divisors, whose sum is σ = 2613600000. Its totient is φ = 206769024.

The previous prime is 761698711. The next prime is 761698739. The reversal of 761698728 is 827896167.

761698728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5111998 + ... + 5112146.

It is an arithmetic number, because the mean of its divisors is an integer number (8167500).

Almost surely, 2^761698728 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 761698728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1306800000).

761698728 is an abundant number, since it is smaller than the sum of its proper divisors (1851901272).

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

761698728 is a wasteful number, since it uses less digits than its factorization.

761698728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 184 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 54.

The square root of 761698728 is about 27598.8899776785. The cubic root of 761698728 is about 913.2599448494.

The spelling of 761698728 in words is "seven hundred sixty-one million, six hundred ninety-eight thousand, seven hundred twenty-eight".