749999090400 has 864 divisors, whose sum is σ = 2922017978880. Its totient is φ = 163661783040.

The previous prime is 749999090363. The next prime is 749999090413. The reversal of 749999090400 is 4090999947.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1540038957 + ... + 1540039443.

Almost surely, 2^749999090400 is an apocalyptic number.

749999090400 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 749999090400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1461008989440).

749999090400 is an abundant number, since it is smaller than the sum of its proper divisors (2172018888480).

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

749999090400 is a wasteful number, since it uses less digits than its factorization.

749999090400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 6613488, while the sum is 60.

The spelling of 749999090400 in words is "seven hundred forty-nine billion, nine hundred ninety-nine million, ninety thousand, four hundred".