7761312000 has 576 divisors, whose sum is σ = 30891544320. Its totient is φ = 1907712000.

The previous prime is 7761311969. The next prime is 7761312007. The reversal of 7761312000 is 2131677.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×7761312000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7761312007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11231655 + ... + 11232345.

Almost surely, 2^7761312000 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 7761312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15445772160).

7761312000 is an abundant number, since it is smaller than the sum of its proper divisors (23130232320).

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

7761312000 is a wasteful number, since it uses less digits than its factorization.

7761312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 7761312000 is about 88098.3087238342. The cubic root of 7761312000 is about 1979.9081683764.

Adding to 7761312000 its reverse (2131677), we get a palindrome (7763443677).

The spelling of 7761312000 in words is "seven billion, seven hundred sixty-one million, three hundred twelve thousand".