763401240 has 256 divisors, whose sum is σ = 2927232000. Its totient is φ = 173352960.

The previous prime is 763401193. The next prime is 763401259. The reversal of 763401240 is 42104367.

763401240 is a `hidden beast` number, since 7 + 634 + 0 + 1 + 24 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1821751 + ... + 1822169.

It is an arithmetic number, because the mean of its divisors is an integer number (11434500).

Almost surely, 2^763401240 is an apocalyptic number.

763401240 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 763401240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1463616000).

763401240 is an abundant number, since it is smaller than the sum of its proper divisors (2163830760).

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

763401240 is a wasteful number, since it uses less digits than its factorization.

763401240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 763401240 is about 27629.7166109245. The cubic root of 763401240 is about 913.9398632840.

The spelling of 763401240 in words is "seven hundred sixty-three million, four hundred one thousand, two hundred forty".