742777560 has 128 divisors (see below), whose sum is σ = 2829657600. Its totient is φ = 169776000.

The previous prime is 742777559. The next prime is 742777579. The reversal of 742777560 is 65777247.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41566 + ... + 56685.

It is an arithmetic number, because the mean of its divisors is an integer number (22106700).

Almost surely, 2^742777560 is an apocalyptic number.

742777560 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

742777560 is an abundant number, since it is smaller than the sum of its proper divisors (2086880040).

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

742777560 is a wasteful number, since it uses less digits than its factorization.

742777560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98278 (or 98268 counting only the distinct ones).

The product of its (nonzero) digits is 576240, while the sum is 45.

The square root of 742777560 is about 27253.9457693744. The cubic root of 742777560 is about 905.6344299435.

The spelling of 742777560 in words is "seven hundred forty-two million, seven hundred seventy-seven thousand, five hundred sixty".