761648400 has 240 divisors, whose sum is σ = 2740003200. Its totient is φ = 200931840.

The previous prime is 761648387. The next prime is 761648443. The reversal of 761648400 is 4846167.

761648400 is a `hidden beast` number, since 7 + 6 + 1 + 648 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1176877 + ... + 1177523.

It is an arithmetic number, because the mean of its divisors is an integer number (11416680).

Almost surely, 2^761648400 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 761648400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1370001600).

761648400 is an abundant number, since it is smaller than the sum of its proper divisors (1978354800).

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

761648400 is a wasteful number, since it uses less digits than its factorization.

761648400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 761648400 is about 27597.9781868165. The cubic root of 761648400 is about 913.2398303531.

The spelling of 761648400 in words is "seven hundred sixty-one million, six hundred forty-eight thousand, four hundred".