761757696 has 320 divisors, whose sum is σ = 2664390960. Its totient is φ = 212336640.

The previous prime is 761757679. The next prime is 761757721. The reversal of 761757696 is 696757167.

It is a happy number.

761757696 is a `hidden beast` number, since 7 + 61 + 7 + 576 + 9 + 6 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

Its product of digits (3333960) is a multiple of the sum of its prime factors (90).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 18579436 + ... + 18579476.

Almost surely, 2^761757696 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 761757696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1332195480).

761757696 is an abundant number, since it is smaller than the sum of its proper divisors (1902633264).

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

761757696 is an frugal number, since it uses more digits than its factorization.

761757696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 53 counting only the distinct ones).

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

The square root of 761757696 is about 27599.9582608380. The cubic root of 761757696 is about 913.2835113510.

The spelling of 761757696 in words is "seven hundred sixty-one million, seven hundred fifty-seven thousand, six hundred ninety-six".