7700648400 has 480 divisors, whose sum is σ = 29614176000. Its totient is φ = 1894717440.

The previous prime is 7700648381. The next prime is 7700648437. The reversal of 7700648400 is 48460077.

It is a happy number.

7700648400 is a `hidden beast` number, since 7 + 7 + 0 + 0 + 648 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7203066 + ... + 7204134.

It is an arithmetic number, because the mean of its divisors is an integer number (61696200).

Almost surely, 2^7700648400 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 7700648400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14807088000).

7700648400 is an abundant number, since it is smaller than the sum of its proper divisors (21913527600).

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

7700648400 is a wasteful number, since it uses less digits than its factorization.

7700648400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1148 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 7700648400 is about 87753.3383980347. The cubic root of 7700648400 is about 1974.7362484941.

It can be divided in two parts, 7700 and 648400, that added together give a square (656100 = 810²).

The spelling of 7700648400 in words is "seven billion, seven hundred million, six hundred forty-eight thousand, four hundred".