761137416 has 192 divisors, whose sum is σ = 2362214400. Its totient is φ = 219469824.

The previous prime is 761137409. The next prime is 761137417. The reversal of 761137416 is 614731167.

761137416 is a `hidden beast` number, since 7 + 611 + 37 + 4 + 1 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (761137417) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2258400 + ... + 2258736.

It is an arithmetic number, because the mean of its divisors is an integer number (12303200).

Almost surely, 2^761137416 is an apocalyptic number.

761137416 is a gapful number since it is divisible by the number (76) 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 761137416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1181107200).

761137416 is an abundant number, since it is smaller than the sum of its proper divisors (1601076984).

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

761137416 is a wasteful number, since it uses less digits than its factorization.

761137416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 501 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 761137416 is about 27588.7189988952. The cubic root of 761137416 is about 913.0355561596.

The spelling of 761137416 in words is "seven hundred sixty-one million, one hundred thirty-seven thousand, four hundred sixteen".