753981696 has 180 divisors, whose sum is σ = 2422043932. Its totient is φ = 231911424.

The previous prime is 753981649. The next prime is 753981707. The reversal of 753981696 is 696189357.

753981696 is a `hidden beast` number, since 7 + 539 + 8 + 16 + 96 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 324000000 + 429981696 = 18000^2 + 20736^2 .

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

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, 268170 + ... + 270966.

Almost surely, 2^753981696 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 753981696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1211021966).

753981696 is an abundant number, since it is smaller than the sum of its proper divisors (1668062236).

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

753981696 is a wasteful number, since it uses less digits than its factorization.

753981696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2838 (or 2815 counting only the distinct ones).

The product of its digits is 2449440, while the sum is 54.

The square root of 753981696 is about 27458.7271372873. The cubic root of 753981696 is about 910.1652865648.

The spelling of 753981696 in words is "seven hundred fifty-three million, nine hundred eighty-one thousand, six hundred ninety-six".